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Finding the Fourth Proportional to 21,842.87, 32,780.70 and 8,688.06

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Solution

The fourth proportional to 21,842.87, 32,780.70 and 8,688.06 is: 13,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.87 : 32,780.70 = 8,688.06 : x
  2. Step 2: Convert to fraction form
    21,842.87/32,780.70 = 8,688.06/x
  3. Step 3: Cross multiply
    21,842.87x = 32,780.70 × 8,688.06
  4. Step 4: Simplify right side
    21,842.87x = 284,800,688.44
  5. Step 5: Solve for x
    x = 284,800,688.44/21,842.87
  6. Step 6: Final answer
    x = 13,038.61

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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.