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Finding the Fourth Proportional to 11,531.78, 15,915.93 and 9,043.46

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Solution

The fourth proportional to 11,531.78, 15,915.93 and 9,043.46 is: 12,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.78 : 15,915.93 = 9,043.46 : x
  2. Step 2: Convert to fraction form
    11,531.78/15,915.93 = 9,043.46/x
  3. Step 3: Cross multiply
    11,531.78x = 15,915.93 × 9,043.46
  4. Step 4: Simplify right side
    11,531.78x = 143,935,076.32
  5. Step 5: Solve for x
    x = 143,935,076.32/11,531.78
  6. Step 6: Final answer
    x = 12,481.60

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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.