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Finding the Fourth Proportional to 9,129.52, 12,602.28 and 5,356

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Solution

The fourth proportional to 9,129.52, 12,602.28 and 5,356 is: 7,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.52 : 12,602.28 = 5,356 : x
  2. Step 2: Convert to fraction form
    9,129.52/12,602.28 = 5,356/x
  3. Step 3: Cross multiply
    9,129.52x = 12,602.28 × 5,356
  4. Step 4: Simplify right side
    9,129.52x = 67,497,811.68
  5. Step 5: Solve for x
    x = 67,497,811.68/9,129.52
  6. Step 6: Final answer
    x = 7,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.