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Finding the Fourth Proportional to 7,874.60, 10,877.31 and 5,881.70

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Solution

The fourth proportional to 7,874.60, 10,877.31 and 5,881.70 is: 8,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.60 : 10,877.31 = 5,881.70 : x
  2. Step 2: Convert to fraction form
    7,874.60/10,877.31 = 5,881.70/x
  3. Step 3: Cross multiply
    7,874.60x = 10,877.31 × 5,881.70
  4. Step 4: Simplify right side
    7,874.60x = 63,977,065.45
  5. Step 5: Solve for x
    x = 63,977,065.45/7,874.60
  6. Step 6: Final answer
    x = 8,124.48

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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.