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Finding the Fourth Proportional to 21,800.16, 32,695.32 and 8,649

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Solution

The fourth proportional to 21,800.16, 32,695.32 and 8,649 is: 12,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.16 : 32,695.32 = 8,649 : x
  2. Step 2: Convert to fraction form
    21,800.16/32,695.32 = 8,649/x
  3. Step 3: Cross multiply
    21,800.16x = 32,695.32 × 8,649
  4. Step 4: Simplify right side
    21,800.16x = 282,781,822.68
  5. Step 5: Solve for x
    x = 282,781,822.68/21,800.16
  6. Step 6: Final answer
    x = 12,971.55

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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.