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Finding the Fourth Proportional to 1,564.71, 2,161.07 and 1,066.49

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Solution

The fourth proportional to 1,564.71, 2,161.07 and 1,066.49 is: 1,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.71 : 2,161.07 = 1,066.49 : x
  2. Step 2: Convert to fraction form
    1,564.71/2,161.07 = 1,066.49/x
  3. Step 3: Cross multiply
    1,564.71x = 2,161.07 × 1,066.49
  4. Step 4: Simplify right side
    1,564.71x = 2,304,767.61
  5. Step 5: Solve for x
    x = 2,304,767.61/1,564.71
  6. Step 6: Final answer
    x = 1,472.97

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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.