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Finding the Fourth Proportional to 3,489.70, 4,815.72 and 1,977.25

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Solution

The fourth proportional to 3,489.70, 4,815.72 and 1,977.25 is: 2,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.70 : 4,815.72 = 1,977.25 : x
  2. Step 2: Convert to fraction form
    3,489.70/4,815.72 = 1,977.25/x
  3. Step 3: Cross multiply
    3,489.70x = 4,815.72 × 1,977.25
  4. Step 4: Simplify right side
    3,489.70x = 9,521,882.37
  5. Step 5: Solve for x
    x = 9,521,882.37/3,489.70
  6. Step 6: Final answer
    x = 2,728.57

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1.5x scale

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.