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Finding the Fourth Proportional to 3,678.96, 5,512.95 and 3,148.72

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Solution

The fourth proportional to 3,678.96, 5,512.95 and 3,148.72 is: 4,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.96 : 5,512.95 = 3,148.72 : x
  2. Step 2: Convert to fraction form
    3,678.96/5,512.95 = 3,148.72/x
  3. Step 3: Cross multiply
    3,678.96x = 5,512.95 × 3,148.72
  4. Step 4: Simplify right side
    3,678.96x = 17,358,735.92
  5. Step 5: Solve for x
    x = 17,358,735.92/3,678.96
  6. Step 6: Final answer
    x = 4,718.39

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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.