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Finding the Fourth Proportional to 5,589.85, 8,385.90 and 1,641.10

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Solution

The fourth proportional to 5,589.85, 8,385.90 and 1,641.10 is: 2,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.85 : 8,385.90 = 1,641.10 : x
  2. Step 2: Convert to fraction form
    5,589.85/8,385.90 = 1,641.10/x
  3. Step 3: Cross multiply
    5,589.85x = 8,385.90 × 1,641.10
  4. Step 4: Simplify right side
    5,589.85x = 13,762,100.49
  5. Step 5: Solve for x
    x = 13,762,100.49/5,589.85
  6. Step 6: Final answer
    x = 2,461.98

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1.5x scale

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.