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Finding the Fourth Proportional to 12,750.72, 17,596.16 and 7,714.88

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Solution

The fourth proportional to 12,750.72, 17,596.16 and 7,714.88 is: 10,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.72 : 17,596.16 = 7,714.88 : x
  2. Step 2: Convert to fraction form
    12,750.72/17,596.16 = 7,714.88/x
  3. Step 3: Cross multiply
    12,750.72x = 17,596.16 × 7,714.88
  4. Step 4: Simplify right side
    12,750.72x = 135,752,262.86
  5. Step 5: Solve for x
    x = 135,752,262.86/12,750.72
  6. Step 6: Final answer
    x = 10,646.64

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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.