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Finding the Fourth Proportional to 13,287.80, 19,934.15 and 5,497.22

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Solution

The fourth proportional to 13,287.80, 19,934.15 and 5,497.22 is: 8,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.80 : 19,934.15 = 5,497.22 : x
  2. Step 2: Convert to fraction form
    13,287.80/19,934.15 = 5,497.22/x
  3. Step 3: Cross multiply
    13,287.80x = 19,934.15 × 5,497.22
  4. Step 4: Simplify right side
    13,287.80x = 109,582,280.91
  5. Step 5: Solve for x
    x = 109,582,280.91/13,287.80
  6. Step 6: Final answer
    x = 8,246.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.