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Finding the Fourth Proportional to 1,713.54, 2,565.54 and 1,126.74

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Solution

The fourth proportional to 1,713.54, 2,565.54 and 1,126.74 is: 1,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.54 : 2,565.54 = 1,126.74 : x
  2. Step 2: Convert to fraction form
    1,713.54/2,565.54 = 1,126.74/x
  3. Step 3: Cross multiply
    1,713.54x = 2,565.54 × 1,126.74
  4. Step 4: Simplify right side
    1,713.54x = 2,890,696.54
  5. Step 5: Solve for x
    x = 2,890,696.54/1,713.54
  6. Step 6: Final answer
    x = 1,686.97

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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.