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Finding the Fourth Proportional to 3,280.65, 4,920.52 and 940.86

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Solution

The fourth proportional to 3,280.65, 4,920.52 and 940.86 is: 1,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.65 : 4,920.52 = 940.86 : x
  2. Step 2: Convert to fraction form
    3,280.65/4,920.52 = 940.86/x
  3. Step 3: Cross multiply
    3,280.65x = 4,920.52 × 940.86
  4. Step 4: Simplify right side
    3,280.65x = 4,629,491.14
  5. Step 5: Solve for x
    x = 4,629,491.14/3,280.65
  6. Step 6: Final answer
    x = 1,411.15

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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.