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Finding the Fourth Proportional to 6,142.60, 8,477 and 3,489.92

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Solution

The fourth proportional to 6,142.60, 8,477 and 3,489.92 is: 4,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.60 : 8,477 = 3,489.92 : x
  2. Step 2: Convert to fraction form
    6,142.60/8,477 = 3,489.92/x
  3. Step 3: Cross multiply
    6,142.60x = 8,477 × 3,489.92
  4. Step 4: Simplify right side
    6,142.60x = 29,584,051.84
  5. Step 5: Solve for x
    x = 29,584,051.84/6,142.60
  6. Step 6: Final answer
    x = 4,816.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.