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Finding the Fourth Proportional to 7,128.24, 10,691.88 and 3,024.24

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Solution

The fourth proportional to 7,128.24, 10,691.88 and 3,024.24 is: 4,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.24 : 10,691.88 = 3,024.24 : x
  2. Step 2: Convert to fraction form
    7,128.24/10,691.88 = 3,024.24/x
  3. Step 3: Cross multiply
    7,128.24x = 10,691.88 × 3,024.24
  4. Step 4: Simplify right side
    7,128.24x = 32,334,811.17
  5. Step 5: Solve for x
    x = 32,334,811.17/7,128.24
  6. Step 6: Final answer
    x = 4,536.16

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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.