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Finding the Fourth Proportional to 15,944, 22,002.72 and 9,320

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Solution

The fourth proportional to 15,944, 22,002.72 and 9,320 is: 12,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944 : 22,002.72 = 9,320 : x
  2. Step 2: Convert to fraction form
    15,944/22,002.72 = 9,320/x
  3. Step 3: Cross multiply
    15,944x = 22,002.72 × 9,320
  4. Step 4: Simplify right side
    15,944x = 205,065,350.40
  5. Step 5: Solve for x
    x = 205,065,350.40/15,944
  6. Step 6: Final answer
    x = 12,861.60

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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.