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Finding the Fourth Proportional to 9,876.76, 14,814.90 and 4,942.80

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Solution

The fourth proportional to 9,876.76, 14,814.90 and 4,942.80 is: 7,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.76 : 14,814.90 = 4,942.80 : x
  2. Step 2: Convert to fraction form
    9,876.76/14,814.90 = 4,942.80/x
  3. Step 3: Cross multiply
    9,876.76x = 14,814.90 × 4,942.80
  4. Step 4: Simplify right side
    9,876.76x = 73,227,087.72
  5. Step 5: Solve for x
    x = 73,227,087.72/9,876.76
  6. Step 6: Final answer
    x = 7,414.08

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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.