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Finding the Fourth Proportional to 5,778.90, 7,974.87 and 3,126.31

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Solution

The fourth proportional to 5,778.90, 7,974.87 and 3,126.31 is: 4,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.90 : 7,974.87 = 3,126.31 : x
  2. Step 2: Convert to fraction form
    5,778.90/7,974.87 = 3,126.31/x
  3. Step 3: Cross multiply
    5,778.90x = 7,974.87 × 3,126.31
  4. Step 4: Simplify right side
    5,778.90x = 24,931,875.96
  5. Step 5: Solve for x
    x = 24,931,875.96/5,778.90
  6. Step 6: Final answer
    x = 4,314.29

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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.