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Finding the Fourth Proportional to 18,445, 27,667.24 and 8,578.76

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Solution

The fourth proportional to 18,445, 27,667.24 and 8,578.76 is: 12,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,445 : 27,667.24 = 8,578.76 : x
  2. Step 2: Convert to fraction form
    18,445/27,667.24 = 8,578.76/x
  3. Step 3: Cross multiply
    18,445x = 27,667.24 × 8,578.76
  4. Step 4: Simplify right side
    18,445x = 237,350,611.82
  5. Step 5: Solve for x
    x = 237,350,611.82/18,445
  6. Step 6: Final answer
    x = 12,868.02

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1.5x scale

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.