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Finding the Fourth Proportional to 1,654.13, 2,283.71 and 1,065.71

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Solution

The fourth proportional to 1,654.13, 2,283.71 and 1,065.71 is: 1,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.13 : 2,283.71 = 1,065.71 : x
  2. Step 2: Convert to fraction form
    1,654.13/2,283.71 = 1,065.71/x
  3. Step 3: Cross multiply
    1,654.13x = 2,283.71 × 1,065.71
  4. Step 4: Simplify right side
    1,654.13x = 2,433,755.84
  5. Step 5: Solve for x
    x = 2,433,755.84/1,654.13
  6. Step 6: Final answer
    x = 1,471.33

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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.