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Finding the Fourth Proportional to 12,862.92, 17,737.79 and 7,822.23

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Solution

The fourth proportional to 12,862.92, 17,737.79 and 7,822.23 is: 10,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.92 : 17,737.79 = 7,822.23 : x
  2. Step 2: Convert to fraction form
    12,862.92/17,737.79 = 7,822.23/x
  3. Step 3: Cross multiply
    12,862.92x = 17,737.79 × 7,822.23
  4. Step 4: Simplify right side
    12,862.92x = 138,749,033.96
  5. Step 5: Solve for x
    x = 138,749,033.96/12,862.92
  6. Step 6: Final answer
    x = 10,786.74

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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.