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Finding the Fourth Proportional to 13,298, 18,351.16 and 7,248.24

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Solution

The fourth proportional to 13,298, 18,351.16 and 7,248.24 is: 10,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298 : 18,351.16 = 7,248.24 : x
  2. Step 2: Convert to fraction form
    13,298/18,351.16 = 7,248.24/x
  3. Step 3: Cross multiply
    13,298x = 18,351.16 × 7,248.24
  4. Step 4: Simplify right side
    13,298x = 133,013,520.20
  5. Step 5: Solve for x
    x = 133,013,520.20/13,298
  6. Step 6: Final answer
    x = 10,002.52

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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.