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Finding the Fourth Proportional to 19,540.88, 29,312.12 and 5,689.88

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Solution

The fourth proportional to 19,540.88, 29,312.12 and 5,689.88 is: 8,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.88 : 29,312.12 = 5,689.88 : x
  2. Step 2: Convert to fraction form
    19,540.88/29,312.12 = 5,689.88/x
  3. Step 3: Cross multiply
    19,540.88x = 29,312.12 × 5,689.88
  4. Step 4: Simplify right side
    19,540.88x = 166,782,313.01
  5. Step 5: Solve for x
    x = 166,782,313.01/19,540.88
  6. Step 6: Final answer
    x = 8,535.05

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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.