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Finding the Fourth Proportional to 2,913.49, 4,370.24 and 965.17

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Solution

The fourth proportional to 2,913.49, 4,370.24 and 965.17 is: 1,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.49 : 4,370.24 = 965.17 : x
  2. Step 2: Convert to fraction form
    2,913.49/4,370.24 = 965.17/x
  3. Step 3: Cross multiply
    2,913.49x = 4,370.24 × 965.17
  4. Step 4: Simplify right side
    2,913.49x = 4,218,024.54
  5. Step 5: Solve for x
    x = 4,218,024.54/2,913.49
  6. Step 6: Final answer
    x = 1,447.76

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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.