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Finding the Fourth Proportional to 20,959.83, 28,924.68 and 11,399.82

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Solution

The fourth proportional to 20,959.83, 28,924.68 and 11,399.82 is: 15,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.83 : 28,924.68 = 11,399.82 : x
  2. Step 2: Convert to fraction form
    20,959.83/28,924.68 = 11,399.82/x
  3. Step 3: Cross multiply
    20,959.83x = 28,924.68 × 11,399.82
  4. Step 4: Simplify right side
    20,959.83x = 329,736,254.03
  5. Step 5: Solve for x
    x = 329,736,254.03/20,959.83
  6. Step 6: Final answer
    x = 15,731.82

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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.