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Finding the Fourth Proportional to 12,251.52, 16,889 and 9,559.74

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Solution

The fourth proportional to 12,251.52, 16,889 and 9,559.74 is: 13,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.52 : 16,889 = 9,559.74 : x
  2. Step 2: Convert to fraction form
    12,251.52/16,889 = 9,559.74/x
  3. Step 3: Cross multiply
    12,251.52x = 16,889 × 9,559.74
  4. Step 4: Simplify right side
    12,251.52x = 161,454,448.86
  5. Step 5: Solve for x
    x = 161,454,448.86/12,251.52
  6. Step 6: Final answer
    x = 13,178.32

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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.