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Finding the Fourth Proportional to 2,965.75, 4,448.87 and 913.75

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Solution

The fourth proportional to 2,965.75, 4,448.87 and 913.75 is: 1,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.75 : 4,448.87 = 913.75 : x
  2. Step 2: Convert to fraction form
    2,965.75/4,448.87 = 913.75/x
  3. Step 3: Cross multiply
    2,965.75x = 4,448.87 × 913.75
  4. Step 4: Simplify right side
    2,965.75x = 4,065,154.96
  5. Step 5: Solve for x
    x = 4,065,154.96/2,965.75
  6. Step 6: Final answer
    x = 1,370.70

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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.