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Finding the Fourth Proportional to 2,718.75, 3,754.16 and 2,045.39

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Solution

The fourth proportional to 2,718.75, 3,754.16 and 2,045.39 is: 2,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.75 : 3,754.16 = 2,045.39 : x
  2. Step 2: Convert to fraction form
    2,718.75/3,754.16 = 2,045.39/x
  3. Step 3: Cross multiply
    2,718.75x = 3,754.16 × 2,045.39
  4. Step 4: Simplify right side
    2,718.75x = 7,678,731.62
  5. Step 5: Solve for x
    x = 7,678,731.62/2,718.75
  6. Step 6: Final answer
    x = 2,824.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.