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Finding the Fourth Proportional to 7,877.40, 10,868.22 and 4,891.56

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Solution

The fourth proportional to 7,877.40, 10,868.22 and 4,891.56 is: 6,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.40 : 10,868.22 = 4,891.56 : x
  2. Step 2: Convert to fraction form
    7,877.40/10,868.22 = 4,891.56/x
  3. Step 3: Cross multiply
    7,877.40x = 10,868.22 × 4,891.56
  4. Step 4: Simplify right side
    7,877.40x = 53,162,550.22
  5. Step 5: Solve for x
    x = 53,162,550.22/7,877.40
  6. Step 6: Final answer
    x = 6,748.74

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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.