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Finding the Fourth Proportional to 9,776.98, 14,665.46 and 8,456.81

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Solution

The fourth proportional to 9,776.98, 14,665.46 and 8,456.81 is: 12,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.98 : 14,665.46 = 8,456.81 : x
  2. Step 2: Convert to fraction form
    9,776.98/14,665.46 = 8,456.81/x
  3. Step 3: Cross multiply
    9,776.98x = 14,665.46 × 8,456.81
  4. Step 4: Simplify right side
    9,776.98x = 124,022,974.93
  5. Step 5: Solve for x
    x = 124,022,974.93/9,776.98
  6. Step 6: Final answer
    x = 12,685.21

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Similar ratio
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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.