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Finding the Fourth Proportional to 12,645.76, 17,451.20 and 7,343.68

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Solution

The fourth proportional to 12,645.76, 17,451.20 and 7,343.68 is: 10,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.76 : 17,451.20 = 7,343.68 : x
  2. Step 2: Convert to fraction form
    12,645.76/17,451.20 = 7,343.68/x
  3. Step 3: Cross multiply
    12,645.76x = 17,451.20 × 7,343.68
  4. Step 4: Simplify right side
    12,645.76x = 128,156,028.42
  5. Step 5: Solve for x
    x = 128,156,028.42/12,645.76
  6. Step 6: Final answer
    x = 10,134.31

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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.