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Finding the Fourth Proportional to 8,378.72, 12,570 and 3,635.66

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Solution

The fourth proportional to 8,378.72, 12,570 and 3,635.66 is: 5,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.72 : 12,570 = 3,635.66 : x
  2. Step 2: Convert to fraction form
    8,378.72/12,570 = 3,635.66/x
  3. Step 3: Cross multiply
    8,378.72x = 12,570 × 3,635.66
  4. Step 4: Simplify right side
    8,378.72x = 45,700,246.20
  5. Step 5: Solve for x
    x = 45,700,246.20/8,378.72
  6. Step 6: Final answer
    x = 5,454.32

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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.