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Finding the Fourth Proportional to 12,341.70, 17,033.49 and 7,860.78

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Solution

The fourth proportional to 12,341.70, 17,033.49 and 7,860.78 is: 10,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.70 : 17,033.49 = 7,860.78 : x
  2. Step 2: Convert to fraction form
    12,341.70/17,033.49 = 7,860.78/x
  3. Step 3: Cross multiply
    12,341.70x = 17,033.49 × 7,860.78
  4. Step 4: Simplify right side
    12,341.70x = 133,896,517.52
  5. Step 5: Solve for x
    x = 133,896,517.52/12,341.70
  6. Step 6: Final answer
    x = 10,849.11

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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.