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Finding the Fourth Proportional to 9,821.61, 14,747.19 and 8,449.87

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Solution

The fourth proportional to 9,821.61, 14,747.19 and 8,449.87 is: 12,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.61 : 14,747.19 = 8,449.87 : x
  2. Step 2: Convert to fraction form
    9,821.61/14,747.19 = 8,449.87/x
  3. Step 3: Cross multiply
    9,821.61x = 14,747.19 × 8,449.87
  4. Step 4: Simplify right side
    9,821.61x = 124,611,838.37
  5. Step 5: Solve for x
    x = 124,611,838.37/9,821.61
  6. Step 6: Final answer
    x = 12,687.52

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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.