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Finding the Fourth Proportional to 9,869.76, 14,750.06 and 8,841.87

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Solution

The fourth proportional to 9,869.76, 14,750.06 and 8,841.87 is: 13,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.76 : 14,750.06 = 8,841.87 : x
  2. Step 2: Convert to fraction form
    9,869.76/14,750.06 = 8,841.87/x
  3. Step 3: Cross multiply
    9,869.76x = 14,750.06 × 8,841.87
  4. Step 4: Simplify right side
    9,869.76x = 130,418,068.80
  5. Step 5: Solve for x
    x = 130,418,068.80/9,869.76
  6. Step 6: Final answer
    x = 13,213.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.