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Finding the Fourth Proportional to 8,628.60, 12,934.98 and 2,782.20

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Solution

The fourth proportional to 8,628.60, 12,934.98 and 2,782.20 is: 4,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.60 : 12,934.98 = 2,782.20 : x
  2. Step 2: Convert to fraction form
    8,628.60/12,934.98 = 2,782.20/x
  3. Step 3: Cross multiply
    8,628.60x = 12,934.98 × 2,782.20
  4. Step 4: Simplify right side
    8,628.60x = 35,987,701.36
  5. Step 5: Solve for x
    x = 35,987,701.36/8,628.60
  6. Step 6: Final answer
    x = 4,170.75

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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.