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Finding the Fourth Proportional to 11,472.48, 15,845.28 and 7,689.60

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Solution

The fourth proportional to 11,472.48, 15,845.28 and 7,689.60 is: 10,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.48 : 15,845.28 = 7,689.60 : x
  2. Step 2: Convert to fraction form
    11,472.48/15,845.28 = 7,689.60/x
  3. Step 3: Cross multiply
    11,472.48x = 15,845.28 × 7,689.60
  4. Step 4: Simplify right side
    11,472.48x = 121,843,865.09
  5. Step 5: Solve for x
    x = 121,843,865.09/11,472.48
  6. Step 6: Final answer
    x = 10,620.53

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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.