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Finding the Fourth Proportional to 13,952.81, 19,251.45 and 7,982.30

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Solution

The fourth proportional to 13,952.81, 19,251.45 and 7,982.30 is: 11,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.81 : 19,251.45 = 7,982.30 : x
  2. Step 2: Convert to fraction form
    13,952.81/19,251.45 = 7,982.30/x
  3. Step 3: Cross multiply
    13,952.81x = 19,251.45 × 7,982.30
  4. Step 4: Simplify right side
    13,952.81x = 153,670,753.08
  5. Step 5: Solve for x
    x = 153,670,753.08/13,952.81
  6. Step 6: Final answer
    x = 11,013.61

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1.5x scale

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.