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Finding the Fourth Proportional to 5,070.76, 6,998.50 and 2,974.90

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Solution

The fourth proportional to 5,070.76, 6,998.50 and 2,974.90 is: 4,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.76 : 6,998.50 = 2,974.90 : x
  2. Step 2: Convert to fraction form
    5,070.76/6,998.50 = 2,974.90/x
  3. Step 3: Cross multiply
    5,070.76x = 6,998.50 × 2,974.90
  4. Step 4: Simplify right side
    5,070.76x = 20,819,837.65
  5. Step 5: Solve for x
    x = 20,819,837.65/5,070.76
  6. Step 6: Final answer
    x = 4,105.86

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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.