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Finding the Fourth Proportional to 9,381.67, 14,073.28 and 2,807.76

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Solution

The fourth proportional to 9,381.67, 14,073.28 and 2,807.76 is: 4,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.67 : 14,073.28 = 2,807.76 : x
  2. Step 2: Convert to fraction form
    9,381.67/14,073.28 = 2,807.76/x
  3. Step 3: Cross multiply
    9,381.67x = 14,073.28 × 2,807.76
  4. Step 4: Simplify right side
    9,381.67x = 39,514,438.41
  5. Step 5: Solve for x
    x = 39,514,438.41/9,381.67
  6. Step 6: Final answer
    x = 4,211.88

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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.