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Finding the Fourth Proportional to 11,139.87, 15,372 and 6,423.24

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Solution

The fourth proportional to 11,139.87, 15,372 and 6,423.24 is: 8,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.87 : 15,372 = 6,423.24 : x
  2. Step 2: Convert to fraction form
    11,139.87/15,372 = 6,423.24/x
  3. Step 3: Cross multiply
    11,139.87x = 15,372 × 6,423.24
  4. Step 4: Simplify right side
    11,139.87x = 98,738,045.28
  5. Step 5: Solve for x
    x = 98,738,045.28/11,139.87
  6. Step 6: Final answer
    x = 8,863.48

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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.