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Finding the Fourth Proportional to 10,494.90, 15,714.27 and 8,220.69

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Solution

The fourth proportional to 10,494.90, 15,714.27 and 8,220.69 is: 12,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.90 : 15,714.27 = 8,220.69 : x
  2. Step 2: Convert to fraction form
    10,494.90/15,714.27 = 8,220.69/x
  3. Step 3: Cross multiply
    10,494.90x = 15,714.27 × 8,220.69
  4. Step 4: Simplify right side
    10,494.90x = 129,182,142.25
  5. Step 5: Solve for x
    x = 129,182,142.25/10,494.90
  6. Step 6: Final answer
    x = 12,309.04

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1.5x scale

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.