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Finding the Fourth Proportional to 3,502.77, 5,248.68 and 2,980.64

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Solution

The fourth proportional to 3,502.77, 5,248.68 and 2,980.64 is: 4,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.77 : 5,248.68 = 2,980.64 : x
  2. Step 2: Convert to fraction form
    3,502.77/5,248.68 = 2,980.64/x
  3. Step 3: Cross multiply
    3,502.77x = 5,248.68 × 2,980.64
  4. Step 4: Simplify right side
    3,502.77x = 15,644,399.31
  5. Step 5: Solve for x
    x = 15,644,399.31/3,502.77
  6. Step 6: Final answer
    x = 4,466.29

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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.