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Finding the Fourth Proportional to 13,256.52, 18,294 and 7,288.32

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Solution

The fourth proportional to 13,256.52, 18,294 and 7,288.32 is: 10,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.52 : 18,294 = 7,288.32 : x
  2. Step 2: Convert to fraction form
    13,256.52/18,294 = 7,288.32/x
  3. Step 3: Cross multiply
    13,256.52x = 18,294 × 7,288.32
  4. Step 4: Simplify right side
    13,256.52x = 133,332,526.08
  5. Step 5: Solve for x
    x = 133,332,526.08/13,256.52
  6. Step 6: Final answer
    x = 10,057.88

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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.