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Finding the Fourth Proportional to 3,503.80, 5,230.85 and 3,115

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Solution

The fourth proportional to 3,503.80, 5,230.85 and 3,115 is: 4,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.80 : 5,230.85 = 3,115 : x
  2. Step 2: Convert to fraction form
    3,503.80/5,230.85 = 3,115/x
  3. Step 3: Cross multiply
    3,503.80x = 5,230.85 × 3,115
  4. Step 4: Simplify right side
    3,503.80x = 16,294,097.75
  5. Step 5: Solve for x
    x = 16,294,097.75/3,503.80
  6. Step 6: Final answer
    x = 4,650.41

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1.5x scale

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.