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Finding the Fourth Proportional to 11,520.24, 15,891.48 and 7,787.76

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Solution

The fourth proportional to 11,520.24, 15,891.48 and 7,787.76 is: 10,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.24 : 15,891.48 = 7,787.76 : x
  2. Step 2: Convert to fraction form
    11,520.24/15,891.48 = 7,787.76/x
  3. Step 3: Cross multiply
    11,520.24x = 15,891.48 × 7,787.76
  4. Step 4: Simplify right side
    11,520.24x = 123,759,032.28
  5. Step 5: Solve for x
    x = 123,759,032.28/11,520.24
  6. Step 6: Final answer
    x = 10,742.75

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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.