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Finding the Fourth Proportional to 12,818.92, 19,142.90 and 12,162.80

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Solution

The fourth proportional to 12,818.92, 19,142.90 and 12,162.80 is: 18,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.92 : 19,142.90 = 12,162.80 : x
  2. Step 2: Convert to fraction form
    12,818.92/19,142.90 = 12,162.80/x
  3. Step 3: Cross multiply
    12,818.92x = 19,142.90 × 12,162.80
  4. Step 4: Simplify right side
    12,818.92x = 232,831,264.12
  5. Step 5: Solve for x
    x = 232,831,264.12/12,818.92
  6. Step 6: Final answer
    x = 18,163.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.