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Finding the Fourth Proportional to 7,872.40, 11,818.20 and 7,814.80

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Solution

The fourth proportional to 7,872.40, 11,818.20 and 7,814.80 is: 11,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.40 : 11,818.20 = 7,814.80 : x
  2. Step 2: Convert to fraction form
    7,872.40/11,818.20 = 7,814.80/x
  3. Step 3: Cross multiply
    7,872.40x = 11,818.20 × 7,814.80
  4. Step 4: Simplify right side
    7,872.40x = 92,356,869.36
  5. Step 5: Solve for x
    x = 92,356,869.36/7,872.40
  6. Step 6: Final answer
    x = 11,731.73

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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.