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Finding the Fourth Proportional to 9,641.66, 14,428.55 and 8,340.71

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Solution

The fourth proportional to 9,641.66, 14,428.55 and 8,340.71 is: 12,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.66 : 14,428.55 = 8,340.71 : x
  2. Step 2: Convert to fraction form
    9,641.66/14,428.55 = 8,340.71/x
  3. Step 3: Cross multiply
    9,641.66x = 14,428.55 × 8,340.71
  4. Step 4: Simplify right side
    9,641.66x = 120,344,299.98
  5. Step 5: Solve for x
    x = 120,344,299.98/9,641.66
  6. Step 6: Final answer
    x = 12,481.71

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1.5x scale

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.