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Finding the Fourth Proportional to 15,920.64, 21,964.80 and 10,944

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Solution

The fourth proportional to 15,920.64, 21,964.80 and 10,944 is: 15,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.64 : 21,964.80 = 10,944 : x
  2. Step 2: Convert to fraction form
    15,920.64/21,964.80 = 10,944/x
  3. Step 3: Cross multiply
    15,920.64x = 21,964.80 × 10,944
  4. Step 4: Simplify right side
    15,920.64x = 240,382,771.20
  5. Step 5: Solve for x
    x = 240,382,771.20/15,920.64
  6. Step 6: Final answer
    x = 15,098.81

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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.