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Finding the Fourth Proportional to 2,478.54, 3,715.65 and 2,115.66

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Solution

The fourth proportional to 2,478.54, 3,715.65 and 2,115.66 is: 3,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.54 : 3,715.65 = 2,115.66 : x
  2. Step 2: Convert to fraction form
    2,478.54/3,715.65 = 2,115.66/x
  3. Step 3: Cross multiply
    2,478.54x = 3,715.65 × 2,115.66
  4. Step 4: Simplify right side
    2,478.54x = 7,861,052.08
  5. Step 5: Solve for x
    x = 7,861,052.08/2,478.54
  6. Step 6: Final answer
    x = 3,171.65

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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.