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Finding the Fourth Proportional to 3,459.96, 5,189.88 and 862.89

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Solution

The fourth proportional to 3,459.96, 5,189.88 and 862.89 is: 1,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.96 : 5,189.88 = 862.89 : x
  2. Step 2: Convert to fraction form
    3,459.96/5,189.88 = 862.89/x
  3. Step 3: Cross multiply
    3,459.96x = 5,189.88 × 862.89
  4. Step 4: Simplify right side
    3,459.96x = 4,478,295.55
  5. Step 5: Solve for x
    x = 4,478,295.55/3,459.96
  6. Step 6: Final answer
    x = 1,294.32

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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.