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Finding the Fourth Proportional to 2,478.06, 3,716.46 and 723.06

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Solution

The fourth proportional to 2,478.06, 3,716.46 and 723.06 is: 1,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.06 : 3,716.46 = 723.06 : x
  2. Step 2: Convert to fraction form
    2,478.06/3,716.46 = 723.06/x
  3. Step 3: Cross multiply
    2,478.06x = 3,716.46 × 723.06
  4. Step 4: Simplify right side
    2,478.06x = 2,687,223.57
  5. Step 5: Solve for x
    x = 2,687,223.57/2,478.06
  6. Step 6: Final answer
    x = 1,084.41

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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.