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Finding the Fourth Proportional to 3,064.58, 4,230.38 and 2,318.77

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Solution

The fourth proportional to 3,064.58, 4,230.38 and 2,318.77 is: 3,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.58 : 4,230.38 = 2,318.77 : x
  2. Step 2: Convert to fraction form
    3,064.58/4,230.38 = 2,318.77/x
  3. Step 3: Cross multiply
    3,064.58x = 4,230.38 × 2,318.77
  4. Step 4: Simplify right side
    3,064.58x = 9,809,245.49
  5. Step 5: Solve for x
    x = 9,809,245.49/3,064.58
  6. Step 6: Final answer
    x = 3,200.85

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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.