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Finding the Fourth Proportional to 7,877.52, 11,816.20 and 3,493.76

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Solution

The fourth proportional to 7,877.52, 11,816.20 and 3,493.76 is: 5,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.52 : 11,816.20 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    7,877.52/11,816.20 = 3,493.76/x
  3. Step 3: Cross multiply
    7,877.52x = 11,816.20 × 3,493.76
  4. Step 4: Simplify right side
    7,877.52x = 41,282,966.91
  5. Step 5: Solve for x
    x = 41,282,966.91/7,877.52
  6. Step 6: Final answer
    x = 5,240.60

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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.