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Finding the Fourth Proportional to 8,674.10, 13,006.35 and 3,742.90

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Solution

The fourth proportional to 8,674.10, 13,006.35 and 3,742.90 is: 5,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.10 : 13,006.35 = 3,742.90 : x
  2. Step 2: Convert to fraction form
    8,674.10/13,006.35 = 3,742.90/x
  3. Step 3: Cross multiply
    8,674.10x = 13,006.35 × 3,742.90
  4. Step 4: Simplify right side
    8,674.10x = 48,681,467.42
  5. Step 5: Solve for x
    x = 48,681,467.42/8,674.10
  6. Step 6: Final answer
    x = 5,612.28

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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.