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Finding the Fourth Proportional to 13,978.20, 19,286.10 and 9,724.49

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Solution

The fourth proportional to 13,978.20, 19,286.10 and 9,724.49 is: 13,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.20 : 19,286.10 = 9,724.49 : x
  2. Step 2: Convert to fraction form
    13,978.20/19,286.10 = 9,724.49/x
  3. Step 3: Cross multiply
    13,978.20x = 19,286.10 × 9,724.49
  4. Step 4: Simplify right side
    13,978.20x = 187,547,462.48
  5. Step 5: Solve for x
    x = 187,547,462.48/13,978.20
  6. Step 6: Final answer
    x = 13,417.14

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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.