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Finding the Fourth Proportional to 5,638.98, 8,458.47 and 1,743.30

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Solution

The fourth proportional to 5,638.98, 8,458.47 and 1,743.30 is: 2,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.98 : 8,458.47 = 1,743.30 : x
  2. Step 2: Convert to fraction form
    5,638.98/8,458.47 = 1,743.30/x
  3. Step 3: Cross multiply
    5,638.98x = 8,458.47 × 1,743.30
  4. Step 4: Simplify right side
    5,638.98x = 14,745,650.75
  5. Step 5: Solve for x
    x = 14,745,650.75/5,638.98
  6. Step 6: Final answer
    x = 2,614.95

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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.