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Finding the Fourth Proportional to 8,678.04, 13,019.10 and 2,834.64

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Solution

The fourth proportional to 8,678.04, 13,019.10 and 2,834.64 is: 4,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.04 : 13,019.10 = 2,834.64 : x
  2. Step 2: Convert to fraction form
    8,678.04/13,019.10 = 2,834.64/x
  3. Step 3: Cross multiply
    8,678.04x = 13,019.10 × 2,834.64
  4. Step 4: Simplify right side
    8,678.04x = 36,904,461.62
  5. Step 5: Solve for x
    x = 36,904,461.62/8,678.04
  6. Step 6: Final answer
    x = 4,252.63

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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.