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Finding the Fourth Proportional to 6,358.14, 8,781.61 and 4,230

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Solution

The fourth proportional to 6,358.14, 8,781.61 and 4,230 is: 5,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.14 : 8,781.61 = 4,230 : x
  2. Step 2: Convert to fraction form
    6,358.14/8,781.61 = 4,230/x
  3. Step 3: Cross multiply
    6,358.14x = 8,781.61 × 4,230
  4. Step 4: Simplify right side
    6,358.14x = 37,146,199.73
  5. Step 5: Solve for x
    x = 37,146,199.73/6,358.14
  6. Step 6: Final answer
    x = 5,842.31

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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.