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Finding the Fourth Proportional to 1,565.37, 2,348.24 and 916.11

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Solution

The fourth proportional to 1,565.37, 2,348.24 and 916.11 is: 1,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.37 : 2,348.24 = 916.11 : x
  2. Step 2: Convert to fraction form
    1,565.37/2,348.24 = 916.11/x
  3. Step 3: Cross multiply
    1,565.37x = 2,348.24 × 916.11
  4. Step 4: Simplify right side
    1,565.37x = 2,151,241.57
  5. Step 5: Solve for x
    x = 2,151,241.57/1,565.37
  6. Step 6: Final answer
    x = 1,374.27

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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.