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Finding the Fourth Proportional to 9,822.78, 14,734.17 and 8,087.76

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Solution

The fourth proportional to 9,822.78, 14,734.17 and 8,087.76 is: 12,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.78 : 14,734.17 = 8,087.76 : x
  2. Step 2: Convert to fraction form
    9,822.78/14,734.17 = 8,087.76/x
  3. Step 3: Cross multiply
    9,822.78x = 14,734.17 × 8,087.76
  4. Step 4: Simplify right side
    9,822.78x = 119,166,430.76
  5. Step 5: Solve for x
    x = 119,166,430.76/9,822.78
  6. Step 6: Final answer
    x = 12,131.64

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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.