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Finding the Fourth Proportional to 21,501.29, 32,253.98 and 8,354.68

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Solution

The fourth proportional to 21,501.29, 32,253.98 and 8,354.68 is: 12,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.29 : 32,253.98 = 8,354.68 : x
  2. Step 2: Convert to fraction form
    21,501.29/32,253.98 = 8,354.68/x
  3. Step 3: Cross multiply
    21,501.29x = 32,253.98 × 8,354.68
  4. Step 4: Simplify right side
    21,501.29x = 269,471,559.22
  5. Step 5: Solve for x
    x = 269,471,559.22/21,501.29
  6. Step 6: Final answer
    x = 12,532.81

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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.