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Finding the Fourth Proportional to 11,913.32, 16,437.02 and 9,387.60

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Solution

The fourth proportional to 11,913.32, 16,437.02 and 9,387.60 is: 12,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.32 : 16,437.02 = 9,387.60 : x
  2. Step 2: Convert to fraction form
    11,913.32/16,437.02 = 9,387.60/x
  3. Step 3: Cross multiply
    11,913.32x = 16,437.02 × 9,387.60
  4. Step 4: Simplify right side
    11,913.32x = 154,304,168.95
  5. Step 5: Solve for x
    x = 154,304,168.95/11,913.32
  6. Step 6: Final answer
    x = 12,952.24

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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.