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Finding the Fourth Proportional to 3,508.80, 5,238.30 and 3,120

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Solution

The fourth proportional to 3,508.80, 5,238.30 and 3,120 is: 4,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.80 : 5,238.30 = 3,120 : x
  2. Step 2: Convert to fraction form
    3,508.80/5,238.30 = 3,120/x
  3. Step 3: Cross multiply
    3,508.80x = 5,238.30 × 3,120
  4. Step 4: Simplify right side
    3,508.80x = 16,343,496
  5. Step 5: Solve for x
    x = 16,343,496/3,508.80
  6. Step 6: Final answer
    x = 4,657.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.