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Finding the Fourth Proportional to 8,357.75, 12,528.19 and 5,239.95

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Solution

The fourth proportional to 8,357.75, 12,528.19 and 5,239.95 is: 7,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.75 : 12,528.19 = 5,239.95 : x
  2. Step 2: Convert to fraction form
    8,357.75/12,528.19 = 5,239.95/x
  3. Step 3: Cross multiply
    8,357.75x = 12,528.19 × 5,239.95
  4. Step 4: Simplify right side
    8,357.75x = 65,647,095.74
  5. Step 5: Solve for x
    x = 65,647,095.74/8,357.75
  6. Step 6: Final answer
    x = 7,854.64

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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.