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Finding the Fourth Proportional to 8,554.70, 12,834.45 and 4,172.30

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Solution

The fourth proportional to 8,554.70, 12,834.45 and 4,172.30 is: 6,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.70 : 12,834.45 = 4,172.30 : x
  2. Step 2: Convert to fraction form
    8,554.70/12,834.45 = 4,172.30/x
  3. Step 3: Cross multiply
    8,554.70x = 12,834.45 × 4,172.30
  4. Step 4: Simplify right side
    8,554.70x = 53,549,175.74
  5. Step 5: Solve for x
    x = 53,549,175.74/8,554.70
  6. Step 6: Final answer
    x = 6,259.62

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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.