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Finding the Fourth Proportional to 13,264, 18,304.78 and 7,296.12

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Solution

The fourth proportional to 13,264, 18,304.78 and 7,296.12 is: 10,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264 : 18,304.78 = 7,296.12 : x
  2. Step 2: Convert to fraction form
    13,264/18,304.78 = 7,296.12/x
  3. Step 3: Cross multiply
    13,264x = 18,304.78 × 7,296.12
  4. Step 4: Simplify right side
    13,264x = 133,553,871.45
  5. Step 5: Solve for x
    x = 133,553,871.45/13,264
  6. Step 6: Final answer
    x = 10,068.90

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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.