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Finding the Fourth Proportional to 12,428.78, 17,144.19 and 7,950.96

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Solution

The fourth proportional to 12,428.78, 17,144.19 and 7,950.96 is: 10,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.78 : 17,144.19 = 7,950.96 : x
  2. Step 2: Convert to fraction form
    12,428.78/17,144.19 = 7,950.96/x
  3. Step 3: Cross multiply
    12,428.78x = 17,144.19 × 7,950.96
  4. Step 4: Simplify right side
    12,428.78x = 136,312,768.92
  5. Step 5: Solve for x
    x = 136,312,768.92/12,428.78
  6. Step 6: Final answer
    x = 10,967.51

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Half scale
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Double scale
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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.