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Finding the Fourth Proportional to 21,491.68, 32,246.76 and 11,638

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Solution

The fourth proportional to 21,491.68, 32,246.76 and 11,638 is: 17,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.68 : 32,246.76 = 11,638 : x
  2. Step 2: Convert to fraction form
    21,491.68/32,246.76 = 11,638/x
  3. Step 3: Cross multiply
    21,491.68x = 32,246.76 × 11,638
  4. Step 4: Simplify right side
    21,491.68x = 375,287,792.88
  5. Step 5: Solve for x
    x = 375,287,792.88/21,491.68
  6. Step 6: Final answer
    x = 17,462.00

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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.