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Finding the Fourth Proportional to 27,855.76, 38,440.74 and 15,280.42

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Solution

The fourth proportional to 27,855.76, 38,440.74 and 15,280.42 is: 21,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.76 : 38,440.74 = 15,280.42 : x
  2. Step 2: Convert to fraction form
    27,855.76/38,440.74 = 15,280.42/x
  3. Step 3: Cross multiply
    27,855.76x = 38,440.74 × 15,280.42
  4. Step 4: Simplify right side
    27,855.76x = 587,390,652.31
  5. Step 5: Solve for x
    x = 587,390,652.31/27,855.76
  6. Step 6: Final answer
    x = 21,086.87

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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.