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Finding the Fourth Proportional to 21,854.69, 32,782.06 and 9,366.61

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Solution

The fourth proportional to 21,854.69, 32,782.06 and 9,366.61 is: 14,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.69 : 32,782.06 = 9,366.61 : x
  2. Step 2: Convert to fraction form
    21,854.69/32,782.06 = 9,366.61/x
  3. Step 3: Cross multiply
    21,854.69x = 32,782.06 × 9,366.61
  4. Step 4: Simplify right side
    21,854.69x = 307,056,771.02
  5. Step 5: Solve for x
    x = 307,056,771.02/21,854.69
  6. Step 6: Final answer
    x = 14,049.93

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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.