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Finding the Fourth Proportional to 7,740.97, 11,611.49 and 1,897.63

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Solution

The fourth proportional to 7,740.97, 11,611.49 and 1,897.63 is: 2,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.97 : 11,611.49 = 1,897.63 : x
  2. Step 2: Convert to fraction form
    7,740.97/11,611.49 = 1,897.63/x
  3. Step 3: Cross multiply
    7,740.97x = 11,611.49 × 1,897.63
  4. Step 4: Simplify right side
    7,740.97x = 22,034,273.25
  5. Step 5: Solve for x
    x = 22,034,273.25/7,740.97
  6. Step 6: Final answer
    x = 2,846.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.