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Finding the Fourth Proportional to 12,324.78, 17,006.22 and 7,019.70

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Solution

The fourth proportional to 12,324.78, 17,006.22 and 7,019.70 is: 9,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.78 : 17,006.22 = 7,019.70 : x
  2. Step 2: Convert to fraction form
    12,324.78/17,006.22 = 7,019.70/x
  3. Step 3: Cross multiply
    12,324.78x = 17,006.22 × 7,019.70
  4. Step 4: Simplify right side
    12,324.78x = 119,378,562.53
  5. Step 5: Solve for x
    x = 119,378,562.53/12,324.78
  6. Step 6: Final answer
    x = 9,686.06

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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.