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Finding the Fourth Proportional to 2,913.57, 4,371.03 and 965.78

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Solution

The fourth proportional to 2,913.57, 4,371.03 and 965.78 is: 1,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.57 : 4,371.03 = 965.78 : x
  2. Step 2: Convert to fraction form
    2,913.57/4,371.03 = 965.78/x
  3. Step 3: Cross multiply
    2,913.57x = 4,371.03 × 965.78
  4. Step 4: Simplify right side
    2,913.57x = 4,221,431.50
  5. Step 5: Solve for x
    x = 4,221,431.50/2,913.57
  6. Step 6: Final answer
    x = 1,448.89

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Half scale
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Double scale
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Similar ratio
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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.