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Finding the Fourth Proportional to 8,678.67, 13,016.35 and 4,231.87

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Solution

The fourth proportional to 8,678.67, 13,016.35 and 4,231.87 is: 6,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.67 : 13,016.35 = 4,231.87 : x
  2. Step 2: Convert to fraction form
    8,678.67/13,016.35 = 4,231.87/x
  3. Step 3: Cross multiply
    8,678.67x = 13,016.35 × 4,231.87
  4. Step 4: Simplify right side
    8,678.67x = 55,083,501.07
  5. Step 5: Solve for x
    x = 55,083,501.07/8,678.67
  6. Step 6: Final answer
    x = 6,347.00

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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.