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Finding the Fourth Proportional to 8,369.28, 11,520 and 7,377.12

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Solution

The fourth proportional to 8,369.28, 11,520 and 7,377.12 is: 10,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.28 : 11,520 = 7,377.12 : x
  2. Step 2: Convert to fraction form
    8,369.28/11,520 = 7,377.12/x
  3. Step 3: Cross multiply
    8,369.28x = 11,520 × 7,377.12
  4. Step 4: Simplify right side
    8,369.28x = 84,984,422.40
  5. Step 5: Solve for x
    x = 84,984,422.40/8,369.28
  6. Step 6: Final answer
    x = 10,154.33

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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.