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Finding the Fourth Proportional to 15,011.75, 20,714.42 and 8,296.47

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Solution

The fourth proportional to 15,011.75, 20,714.42 and 8,296.47 is: 11,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.75 : 20,714.42 = 8,296.47 : x
  2. Step 2: Convert to fraction form
    15,011.75/20,714.42 = 8,296.47/x
  3. Step 3: Cross multiply
    15,011.75x = 20,714.42 × 8,296.47
  4. Step 4: Simplify right side
    15,011.75x = 171,856,584.84
  5. Step 5: Solve for x
    x = 171,856,584.84/15,011.75
  6. Step 6: Final answer
    x = 11,448.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.