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Finding the Fourth Proportional to 21,409.52, 32,115.72 and 8,262

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Solution

The fourth proportional to 21,409.52, 32,115.72 and 8,262 is: 12,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.52 : 32,115.72 = 8,262 : x
  2. Step 2: Convert to fraction form
    21,409.52/32,115.72 = 8,262/x
  3. Step 3: Cross multiply
    21,409.52x = 32,115.72 × 8,262
  4. Step 4: Simplify right side
    21,409.52x = 265,340,078.64
  5. Step 5: Solve for x
    x = 265,340,078.64/21,409.52
  6. Step 6: Final answer
    x = 12,393.56

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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.