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Finding the Fourth Proportional to 8,678.01, 13,017.90 and 2,438.04

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Solution

The fourth proportional to 8,678.01, 13,017.90 and 2,438.04 is: 3,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.01 : 13,017.90 = 2,438.04 : x
  2. Step 2: Convert to fraction form
    8,678.01/13,017.90 = 2,438.04/x
  3. Step 3: Cross multiply
    8,678.01x = 13,017.90 × 2,438.04
  4. Step 4: Simplify right side
    8,678.01x = 31,738,160.92
  5. Step 5: Solve for x
    x = 31,738,160.92/8,678.01
  6. Step 6: Final answer
    x = 3,657.31

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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.