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Finding the Fourth Proportional to 16,959.20, 23,403.68 and 9,507.20

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Solution

The fourth proportional to 16,959.20, 23,403.68 and 9,507.20 is: 13,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.20 : 23,403.68 = 9,507.20 : x
  2. Step 2: Convert to fraction form
    16,959.20/23,403.68 = 9,507.20/x
  3. Step 3: Cross multiply
    16,959.20x = 23,403.68 × 9,507.20
  4. Step 4: Simplify right side
    16,959.20x = 222,503,301.94
  5. Step 5: Solve for x
    x = 222,503,301.94/16,959.20
  6. Step 6: Final answer
    x = 13,119.92

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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.