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Finding the Fourth Proportional to 2,291.52, 3,437.28 and 560.14

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Solution

The fourth proportional to 2,291.52, 3,437.28 and 560.14 is: 840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.52 : 3,437.28 = 560.14 : x
  2. Step 2: Convert to fraction form
    2,291.52/3,437.28 = 560.14/x
  3. Step 3: Cross multiply
    2,291.52x = 3,437.28 × 560.14
  4. Step 4: Simplify right side
    2,291.52x = 1,925,358.02
  5. Step 5: Solve for x
    x = 1,925,358.02/2,291.52
  6. Step 6: Final answer
    x = 840.21

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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.