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Finding the Fourth Proportional to 12,157.53, 16,761.14 and 9,119.74

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Solution

The fourth proportional to 12,157.53, 16,761.14 and 9,119.74 is: 12,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.53 : 16,761.14 = 9,119.74 : x
  2. Step 2: Convert to fraction form
    12,157.53/16,761.14 = 9,119.74/x
  3. Step 3: Cross multiply
    12,157.53x = 16,761.14 × 9,119.74
  4. Step 4: Simplify right side
    12,157.53x = 152,857,155.10
  5. Step 5: Solve for x
    x = 152,857,155.10/12,157.53
  6. Step 6: Final answer
    x = 12,573.04

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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.