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Finding the Fourth Proportional to 3,530, 4,871.52 and 2,290.16

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Solution

The fourth proportional to 3,530, 4,871.52 and 2,290.16 is: 3,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530 : 4,871.52 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    3,530/4,871.52 = 2,290.16/x
  3. Step 3: Cross multiply
    3,530x = 4,871.52 × 2,290.16
  4. Step 4: Simplify right side
    3,530x = 11,156,560.24
  5. Step 5: Solve for x
    x = 11,156,560.24/3,530
  6. Step 6: Final answer
    x = 3,160.50

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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.