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Finding the Fourth Proportional to 12,377.70, 18,570.80 and 3,613.90

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Solution

The fourth proportional to 12,377.70, 18,570.80 and 3,613.90 is: 5,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.70 : 18,570.80 = 3,613.90 : x
  2. Step 2: Convert to fraction form
    12,377.70/18,570.80 = 3,613.90/x
  3. Step 3: Cross multiply
    12,377.70x = 18,570.80 × 3,613.90
  4. Step 4: Simplify right side
    12,377.70x = 67,113,014.12
  5. Step 5: Solve for x
    x = 67,113,014.12/12,377.70
  6. Step 6: Final answer
    x = 5,422.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.