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Finding the Fourth Proportional to 3,459.21, 5,188.77 and 862.17

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Solution

The fourth proportional to 3,459.21, 5,188.77 and 862.17 is: 1,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.21 : 5,188.77 = 862.17 : x
  2. Step 2: Convert to fraction form
    3,459.21/5,188.77 = 862.17/x
  3. Step 3: Cross multiply
    3,459.21x = 5,188.77 × 862.17
  4. Step 4: Simplify right side
    3,459.21x = 4,473,601.83
  5. Step 5: Solve for x
    x = 4,473,601.83/3,459.21
  6. Step 6: Final answer
    x = 1,293.24

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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.