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Finding the Fourth Proportional to 11,432.28, 15,776.52 and 6,719.28

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Solution

The fourth proportional to 11,432.28, 15,776.52 and 6,719.28 is: 9,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.28 : 15,776.52 = 6,719.28 : x
  2. Step 2: Convert to fraction form
    11,432.28/15,776.52 = 6,719.28/x
  3. Step 3: Cross multiply
    11,432.28x = 15,776.52 × 6,719.28
  4. Step 4: Simplify right side
    11,432.28x = 106,006,855.31
  5. Step 5: Solve for x
    x = 106,006,855.31/11,432.28
  6. Step 6: Final answer
    x = 9,272.59

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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.