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Finding the Fourth Proportional to 6,406.50, 8,841.12 and 3,612

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Solution

The fourth proportional to 6,406.50, 8,841.12 and 3,612 is: 4,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.50 : 8,841.12 = 3,612 : x
  2. Step 2: Convert to fraction form
    6,406.50/8,841.12 = 3,612/x
  3. Step 3: Cross multiply
    6,406.50x = 8,841.12 × 3,612
  4. Step 4: Simplify right side
    6,406.50x = 31,934,125.44
  5. Step 5: Solve for x
    x = 31,934,125.44/6,406.50
  6. Step 6: Final answer
    x = 4,984.64

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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.