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Finding the Fourth Proportional to 2,420.92, 3,632.70 and 960.12

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Solution

The fourth proportional to 2,420.92, 3,632.70 and 960.12 is: 1,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.92 : 3,632.70 = 960.12 : x
  2. Step 2: Convert to fraction form
    2,420.92/3,632.70 = 960.12/x
  3. Step 3: Cross multiply
    2,420.92x = 3,632.70 × 960.12
  4. Step 4: Simplify right side
    2,420.92x = 3,487,827.92
  5. Step 5: Solve for x
    x = 3,487,827.92/2,420.92
  6. Step 6: Final answer
    x = 1,440.70

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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.