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Finding the Fourth Proportional to 2,810.59, 4,216.11 and 960.95

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Solution

The fourth proportional to 2,810.59, 4,216.11 and 960.95 is: 1,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.59 : 4,216.11 = 960.95 : x
  2. Step 2: Convert to fraction form
    2,810.59/4,216.11 = 960.95/x
  3. Step 3: Cross multiply
    2,810.59x = 4,216.11 × 960.95
  4. Step 4: Simplify right side
    2,810.59x = 4,051,470.90
  5. Step 5: Solve for x
    x = 4,051,470.90/2,810.59
  6. Step 6: Final answer
    x = 1,441.50

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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.