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Finding the Fourth Proportional to 18,205.68, 27,271.80 and 12,569.52

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Solution

The fourth proportional to 18,205.68, 27,271.80 and 12,569.52 is: 18,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.68 : 27,271.80 = 12,569.52 : x
  2. Step 2: Convert to fraction form
    18,205.68/27,271.80 = 12,569.52/x
  3. Step 3: Cross multiply
    18,205.68x = 27,271.80 × 12,569.52
  4. Step 4: Simplify right side
    18,205.68x = 342,793,435.54
  5. Step 5: Solve for x
    x = 342,793,435.54/18,205.68
  6. Step 6: Final answer
    x = 18,828.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.