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Finding the Fourth Proportional to 6,117.20, 8,439 and 3,878.48

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Solution

The fourth proportional to 6,117.20, 8,439 and 3,878.48 is: 5,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.20 : 8,439 = 3,878.48 : x
  2. Step 2: Convert to fraction form
    6,117.20/8,439 = 3,878.48/x
  3. Step 3: Cross multiply
    6,117.20x = 8,439 × 3,878.48
  4. Step 4: Simplify right side
    6,117.20x = 32,730,492.72
  5. Step 5: Solve for x
    x = 32,730,492.72/6,117.20
  6. Step 6: Final answer
    x = 5,350.57

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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.