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Finding the Fourth Proportional to 12,491.40, 18,732.22 and 5,561

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Solution

The fourth proportional to 12,491.40, 18,732.22 and 5,561 is: 8,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.40 : 18,732.22 = 5,561 : x
  2. Step 2: Convert to fraction form
    12,491.40/18,732.22 = 5,561/x
  3. Step 3: Cross multiply
    12,491.40x = 18,732.22 × 5,561
  4. Step 4: Simplify right side
    12,491.40x = 104,169,875.42
  5. Step 5: Solve for x
    x = 104,169,875.42/12,491.40
  6. Step 6: Final answer
    x = 8,339.33

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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.