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Finding the Fourth Proportional to 11,915.76, 16,410.46 and 11,657.47

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Solution

The fourth proportional to 11,915.76, 16,410.46 and 11,657.47 is: 16,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.76 : 16,410.46 = 11,657.47 : x
  2. Step 2: Convert to fraction form
    11,915.76/16,410.46 = 11,657.47/x
  3. Step 3: Cross multiply
    11,915.76x = 16,410.46 × 11,657.47
  4. Step 4: Simplify right side
    11,915.76x = 191,304,445.14
  5. Step 5: Solve for x
    x = 191,304,445.14/11,915.76
  6. Step 6: Final answer
    x = 16,054.74

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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.