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Finding the Fourth Proportional to 6,711.76, 10,066.47 and 1,781.65

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Solution

The fourth proportional to 6,711.76, 10,066.47 and 1,781.65 is: 2,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.76 : 10,066.47 = 1,781.65 : x
  2. Step 2: Convert to fraction form
    6,711.76/10,066.47 = 1,781.65/x
  3. Step 3: Cross multiply
    6,711.76x = 10,066.47 × 1,781.65
  4. Step 4: Simplify right side
    6,711.76x = 17,934,926.28
  5. Step 5: Solve for x
    x = 17,934,926.28/6,711.76
  6. Step 6: Final answer
    x = 2,672.16

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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.