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Finding the Fourth Proportional to 2,746.53, 4,119.74 and 772.18

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Solution

The fourth proportional to 2,746.53, 4,119.74 and 772.18 is: 1,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.53 : 4,119.74 = 772.18 : x
  2. Step 2: Convert to fraction form
    2,746.53/4,119.74 = 772.18/x
  3. Step 3: Cross multiply
    2,746.53x = 4,119.74 × 772.18
  4. Step 4: Simplify right side
    2,746.53x = 3,181,190.57
  5. Step 5: Solve for x
    x = 3,181,190.57/2,746.53
  6. Step 6: Final answer
    x = 1,158.26

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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.