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Finding the Fourth Proportional to 15,310.71, 22,873.05 and 9,719.28

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Solution

The fourth proportional to 15,310.71, 22,873.05 and 9,719.28 is: 14,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310.71 : 22,873.05 = 9,719.28 : x
  2. Step 2: Convert to fraction form
    15,310.71/22,873.05 = 9,719.28/x
  3. Step 3: Cross multiply
    15,310.71x = 22,873.05 × 9,719.28
  4. Step 4: Simplify right side
    15,310.71x = 222,309,577.40
  5. Step 5: Solve for x
    x = 222,309,577.40/15,310.71
  6. Step 6: Final answer
    x = 14,519.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.