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Finding the Fourth Proportional to 2,407.70, 3,604.50 and 2,177.12

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Solution

The fourth proportional to 2,407.70, 3,604.50 and 2,177.12 is: 3,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.70 : 3,604.50 = 2,177.12 : x
  2. Step 2: Convert to fraction form
    2,407.70/3,604.50 = 2,177.12/x
  3. Step 3: Cross multiply
    2,407.70x = 3,604.50 × 2,177.12
  4. Step 4: Simplify right side
    2,407.70x = 7,847,429.04
  5. Step 5: Solve for x
    x = 7,847,429.04/2,407.70
  6. Step 6: Final answer
    x = 3,259.31

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1.5x scale

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.