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Finding the Fourth Proportional to 8,972.16, 13,480.14 and 8,474.82

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Solution

The fourth proportional to 8,972.16, 13,480.14 and 8,474.82 is: 12,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.16 : 13,480.14 = 8,474.82 : x
  2. Step 2: Convert to fraction form
    8,972.16/13,480.14 = 8,474.82/x
  3. Step 3: Cross multiply
    8,972.16x = 13,480.14 × 8,474.82
  4. Step 4: Simplify right side
    8,972.16x = 114,241,760.07
  5. Step 5: Solve for x
    x = 114,241,760.07/8,972.16
  6. Step 6: Final answer
    x = 12,732.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.