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Finding the Fourth Proportional to 3,478.83, 5,218.25 and 1,013.71

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Solution

The fourth proportional to 3,478.83, 5,218.25 and 1,013.71 is: 1,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.83 : 5,218.25 = 1,013.71 : x
  2. Step 2: Convert to fraction form
    3,478.83/5,218.25 = 1,013.71/x
  3. Step 3: Cross multiply
    3,478.83x = 5,218.25 × 1,013.71
  4. Step 4: Simplify right side
    3,478.83x = 5,289,792.21
  5. Step 5: Solve for x
    x = 5,289,792.21/3,478.83
  6. Step 6: Final answer
    x = 1,520.57

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Double scale
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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.