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Finding the Fourth Proportional to 3,073, 4,602.18 and 1,770.52

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Solution

The fourth proportional to 3,073, 4,602.18 and 1,770.52 is: 2,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073 : 4,602.18 = 1,770.52 : x
  2. Step 2: Convert to fraction form
    3,073/4,602.18 = 1,770.52/x
  3. Step 3: Cross multiply
    3,073x = 4,602.18 × 1,770.52
  4. Step 4: Simplify right side
    3,073x = 8,148,251.73
  5. Step 5: Solve for x
    x = 8,148,251.73/3,073
  6. Step 6: Final answer
    x = 2,651.56

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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.