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Finding the Fourth Proportional to 2,874.36, 3,968.55 and 1,931.55

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Solution

The fourth proportional to 2,874.36, 3,968.55 and 1,931.55 is: 2,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.36 : 3,968.55 = 1,931.55 : x
  2. Step 2: Convert to fraction form
    2,874.36/3,968.55 = 1,931.55/x
  3. Step 3: Cross multiply
    2,874.36x = 3,968.55 × 1,931.55
  4. Step 4: Simplify right side
    2,874.36x = 7,665,452.75
  5. Step 5: Solve for x
    x = 7,665,452.75/2,874.36
  6. Step 6: Final answer
    x = 2,666.84

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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.