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Finding the Fourth Proportional to 21,505.61, 32,246.12 and 8,342.62

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Solution

The fourth proportional to 21,505.61, 32,246.12 and 8,342.62 is: 12,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.61 : 32,246.12 = 8,342.62 : x
  2. Step 2: Convert to fraction form
    21,505.61/32,246.12 = 8,342.62/x
  3. Step 3: Cross multiply
    21,505.61x = 32,246.12 × 8,342.62
  4. Step 4: Simplify right side
    21,505.61x = 269,016,922.69
  5. Step 5: Solve for x
    x = 269,016,922.69/21,505.61
  6. Step 6: Final answer
    x = 12,509.15

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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.