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Finding the Fourth Proportional to 11,657.34, 16,089.62 and 7,678.80

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Solution

The fourth proportional to 11,657.34, 16,089.62 and 7,678.80 is: 10,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.34 : 16,089.62 = 7,678.80 : x
  2. Step 2: Convert to fraction form
    11,657.34/16,089.62 = 7,678.80/x
  3. Step 3: Cross multiply
    11,657.34x = 16,089.62 × 7,678.80
  4. Step 4: Simplify right side
    11,657.34x = 123,548,935.66
  5. Step 5: Solve for x
    x = 123,548,935.66/11,657.34
  6. Step 6: Final answer
    x = 10,598.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.