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Finding the Fourth Proportional to 5,438.32, 8,158.02 and 1,739.62

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Solution

The fourth proportional to 5,438.32, 8,158.02 and 1,739.62 is: 2,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.32 : 8,158.02 = 1,739.62 : x
  2. Step 2: Convert to fraction form
    5,438.32/8,158.02 = 1,739.62/x
  3. Step 3: Cross multiply
    5,438.32x = 8,158.02 × 1,739.62
  4. Step 4: Simplify right side
    5,438.32x = 14,191,854.75
  5. Step 5: Solve for x
    x = 14,191,854.75/5,438.32
  6. Step 6: Final answer
    x = 2,609.60

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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.