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Finding the Fourth Proportional to 2,312.67, 3,470.16 and 1,080.97

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Solution

The fourth proportional to 2,312.67, 3,470.16 and 1,080.97 is: 1,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.67 : 3,470.16 = 1,080.97 : x
  2. Step 2: Convert to fraction form
    2,312.67/3,470.16 = 1,080.97/x
  3. Step 3: Cross multiply
    2,312.67x = 3,470.16 × 1,080.97
  4. Step 4: Simplify right side
    2,312.67x = 3,751,134.23
  5. Step 5: Solve for x
    x = 3,751,134.23/2,312.67
  6. Step 6: Final answer
    x = 1,621.99

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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.