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Finding the Fourth Proportional to 2,952.57, 4,428.84 and 900.57

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Solution

The fourth proportional to 2,952.57, 4,428.84 and 900.57 is: 1,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.57 : 4,428.84 = 900.57 : x
  2. Step 2: Convert to fraction form
    2,952.57/4,428.84 = 900.57/x
  3. Step 3: Cross multiply
    2,952.57x = 4,428.84 × 900.57
  4. Step 4: Simplify right side
    2,952.57x = 3,988,480.44
  5. Step 5: Solve for x
    x = 3,988,480.44/2,952.57
  6. Step 6: Final answer
    x = 1,350.85

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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.