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Finding the Fourth Proportional to 15,031.76, 22,543.08 and 5,165.36

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Solution

The fourth proportional to 15,031.76, 22,543.08 and 5,165.36 is: 7,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.76 : 22,543.08 = 5,165.36 : x
  2. Step 2: Convert to fraction form
    15,031.76/22,543.08 = 5,165.36/x
  3. Step 3: Cross multiply
    15,031.76x = 22,543.08 × 5,165.36
  4. Step 4: Simplify right side
    15,031.76x = 116,443,123.71
  5. Step 5: Solve for x
    x = 116,443,123.71/15,031.76
  6. Step 6: Final answer
    x = 7,746.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.