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Finding the Fourth Proportional to 6,295.70, 8,687.38 and 3,642.60

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Solution

The fourth proportional to 6,295.70, 8,687.38 and 3,642.60 is: 5,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.70 : 8,687.38 = 3,642.60 : x
  2. Step 2: Convert to fraction form
    6,295.70/8,687.38 = 3,642.60/x
  3. Step 3: Cross multiply
    6,295.70x = 8,687.38 × 3,642.60
  4. Step 4: Simplify right side
    6,295.70x = 31,644,650.39
  5. Step 5: Solve for x
    x = 31,644,650.39/6,295.70
  6. Step 6: Final answer
    x = 5,026.39

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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.