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Finding the Fourth Proportional to 6,711.72, 10,066.81 and 1,781.74

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Solution

The fourth proportional to 6,711.72, 10,066.81 and 1,781.74 is: 2,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.72 : 10,066.81 = 1,781.74 : x
  2. Step 2: Convert to fraction form
    6,711.72/10,066.81 = 1,781.74/x
  3. Step 3: Cross multiply
    6,711.72x = 10,066.81 × 1,781.74
  4. Step 4: Simplify right side
    6,711.72x = 17,936,437.43
  5. Step 5: Solve for x
    x = 17,936,437.43/6,711.72
  6. Step 6: Final answer
    x = 2,672.41

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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.