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Finding the Fourth Proportional to 8,678.52, 13,019.70 and 4,059

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Solution

The fourth proportional to 8,678.52, 13,019.70 and 4,059 is: 6,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.52 : 13,019.70 = 4,059 : x
  2. Step 2: Convert to fraction form
    8,678.52/13,019.70 = 4,059/x
  3. Step 3: Cross multiply
    8,678.52x = 13,019.70 × 4,059
  4. Step 4: Simplify right side
    8,678.52x = 52,846,962.30
  5. Step 5: Solve for x
    x = 52,846,962.30/8,678.52
  6. Step 6: Final answer
    x = 6,089.40

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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.