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Finding the Fourth Proportional to 4,897.80, 7,346.70 and 2,783.70

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Solution

The fourth proportional to 4,897.80, 7,346.70 and 2,783.70 is: 4,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.80 : 7,346.70 = 2,783.70 : x
  2. Step 2: Convert to fraction form
    4,897.80/7,346.70 = 2,783.70/x
  3. Step 3: Cross multiply
    4,897.80x = 7,346.70 × 2,783.70
  4. Step 4: Simplify right side
    4,897.80x = 20,451,008.79
  5. Step 5: Solve for x
    x = 20,451,008.79/4,897.80
  6. Step 6: Final answer
    x = 4,175.55

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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.