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Finding the Fourth Proportional to 3,456.77, 4,758.26 and 3,013.88

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Solution

The fourth proportional to 3,456.77, 4,758.26 and 3,013.88 is: 4,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.77 : 4,758.26 = 3,013.88 : x
  2. Step 2: Convert to fraction form
    3,456.77/4,758.26 = 3,013.88/x
  3. Step 3: Cross multiply
    3,456.77x = 4,758.26 × 3,013.88
  4. Step 4: Simplify right side
    3,456.77x = 14,340,785.79
  5. Step 5: Solve for x
    x = 14,340,785.79/3,456.77
  6. Step 6: Final answer
    x = 4,148.61

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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.