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Finding the Fourth Proportional to 2,449.70, 3,669.15 and 2,176.10

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Solution

The fourth proportional to 2,449.70, 3,669.15 and 2,176.10 is: 3,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.70 : 3,669.15 = 2,176.10 : x
  2. Step 2: Convert to fraction form
    2,449.70/3,669.15 = 2,176.10/x
  3. Step 3: Cross multiply
    2,449.70x = 3,669.15 × 2,176.10
  4. Step 4: Simplify right side
    2,449.70x = 7,984,437.32
  5. Step 5: Solve for x
    x = 7,984,437.32/2,449.70
  6. Step 6: Final answer
    x = 3,259.35

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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.