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Finding the Fourth Proportional to 9,129.47, 13,696.05 and 3,864.47

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Solution

The fourth proportional to 9,129.47, 13,696.05 and 3,864.47 is: 5,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.47 : 13,696.05 = 3,864.47 : x
  2. Step 2: Convert to fraction form
    9,129.47/13,696.05 = 3,864.47/x
  3. Step 3: Cross multiply
    9,129.47x = 13,696.05 × 3,864.47
  4. Step 4: Simplify right side
    9,129.47x = 52,927,974.34
  5. Step 5: Solve for x
    x = 52,927,974.34/9,129.47
  6. Step 6: Final answer
    x = 5,797.49

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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.