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Finding the Fourth Proportional to 11,531.52, 15,897.60 and 8,697.60

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Solution

The fourth proportional to 11,531.52, 15,897.60 and 8,697.60 is: 11,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.52 : 15,897.60 = 8,697.60 : x
  2. Step 2: Convert to fraction form
    11,531.52/15,897.60 = 8,697.60/x
  3. Step 3: Cross multiply
    11,531.52x = 15,897.60 × 8,697.60
  4. Step 4: Simplify right side
    11,531.52x = 138,270,965.76
  5. Step 5: Solve for x
    x = 138,270,965.76/11,531.52
  6. Step 6: Final answer
    x = 11,990.70

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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.