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Finding the Fourth Proportional to 7,882.85, 10,877.87 and 4,898.66

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Solution

The fourth proportional to 7,882.85, 10,877.87 and 4,898.66 is: 6,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.85 : 10,877.87 = 4,898.66 : x
  2. Step 2: Convert to fraction form
    7,882.85/10,877.87 = 4,898.66/x
  3. Step 3: Cross multiply
    7,882.85x = 10,877.87 × 4,898.66
  4. Step 4: Simplify right side
    7,882.85x = 53,286,944.51
  5. Step 5: Solve for x
    x = 53,286,944.51/7,882.85
  6. Step 6: Final answer
    x = 6,759.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.