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Finding the Fourth Proportional to 17,921.95, 24,732.71 and 9,964

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Solution

The fourth proportional to 17,921.95, 24,732.71 and 9,964 is: 13,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.95 : 24,732.71 = 9,964 : x
  2. Step 2: Convert to fraction form
    17,921.95/24,732.71 = 9,964/x
  3. Step 3: Cross multiply
    17,921.95x = 24,732.71 × 9,964
  4. Step 4: Simplify right side
    17,921.95x = 246,436,722.44
  5. Step 5: Solve for x
    x = 246,436,722.44/17,921.95
  6. Step 6: Final answer
    x = 13,750.55

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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.