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Finding the Fourth Proportional to 10,599.68, 14,624.38 and 6,121.80

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Solution

The fourth proportional to 10,599.68, 14,624.38 and 6,121.80 is: 8,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.68 : 14,624.38 = 6,121.80 : x
  2. Step 2: Convert to fraction form
    10,599.68/14,624.38 = 6,121.80/x
  3. Step 3: Cross multiply
    10,599.68x = 14,624.38 × 6,121.80
  4. Step 4: Simplify right side
    10,599.68x = 89,527,529.48
  5. Step 5: Solve for x
    x = 89,527,529.48/10,599.68
  6. Step 6: Final answer
    x = 8,446.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.