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Finding the Fourth Proportional to 9,821.78, 14,732.67 and 8,086.76

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Solution

The fourth proportional to 9,821.78, 14,732.67 and 8,086.76 is: 12,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.78 : 14,732.67 = 8,086.76 : x
  2. Step 2: Convert to fraction form
    9,821.78/14,732.67 = 8,086.76/x
  3. Step 3: Cross multiply
    9,821.78x = 14,732.67 × 8,086.76
  4. Step 4: Simplify right side
    9,821.78x = 119,139,566.45
  5. Step 5: Solve for x
    x = 119,139,566.45/9,821.78
  6. Step 6: Final answer
    x = 12,130.14

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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.