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Finding the Fourth Proportional to 19,432.60, 29,143 and 5,389.24

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Solution

The fourth proportional to 19,432.60, 29,143 and 5,389.24 is: 8,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432.60 : 29,143 = 5,389.24 : x
  2. Step 2: Convert to fraction form
    19,432.60/29,143 = 5,389.24/x
  3. Step 3: Cross multiply
    19,432.60x = 29,143 × 5,389.24
  4. Step 4: Simplify right side
    19,432.60x = 157,058,621.32
  5. Step 5: Solve for x
    x = 157,058,621.32/19,432.60
  6. Step 6: Final answer
    x = 8,082.22

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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.