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Finding the Fourth Proportional to 6,387.42, 8,813.30 and 3,734.32

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Solution

The fourth proportional to 6,387.42, 8,813.30 and 3,734.32 is: 5,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.42 : 8,813.30 = 3,734.32 : x
  2. Step 2: Convert to fraction form
    6,387.42/8,813.30 = 3,734.32/x
  3. Step 3: Cross multiply
    6,387.42x = 8,813.30 × 3,734.32
  4. Step 4: Simplify right side
    6,387.42x = 32,911,668.78
  5. Step 5: Solve for x
    x = 32,911,668.78/6,387.42
  6. Step 6: Final answer
    x = 5,152.57

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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.