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Finding the Fourth Proportional to 19,543.20, 29,266.20 and 15,655.20

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Solution

The fourth proportional to 19,543.20, 29,266.20 and 15,655.20 is: 23,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.20 : 29,266.20 = 15,655.20 : x
  2. Step 2: Convert to fraction form
    19,543.20/29,266.20 = 15,655.20/x
  3. Step 3: Cross multiply
    19,543.20x = 29,266.20 × 15,655.20
  4. Step 4: Simplify right side
    19,543.20x = 458,168,214.24
  5. Step 5: Solve for x
    x = 458,168,214.24/19,543.20
  6. Step 6: Final answer
    x = 23,443.87

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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.