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Finding the Fourth Proportional to 1,997.93, 2,758.14 and 1,548.79

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Solution

The fourth proportional to 1,997.93, 2,758.14 and 1,548.79 is: 2,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.93 : 2,758.14 = 1,548.79 : x
  2. Step 2: Convert to fraction form
    1,997.93/2,758.14 = 1,548.79/x
  3. Step 3: Cross multiply
    1,997.93x = 2,758.14 × 1,548.79
  4. Step 4: Simplify right side
    1,997.93x = 4,271,772.76
  5. Step 5: Solve for x
    x = 4,271,772.76/1,997.93
  6. Step 6: Final answer
    x = 2,138.10

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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.