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Finding the Fourth Proportional to 2,851.74, 3,931.74 and 2,380.32

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Solution

The fourth proportional to 2,851.74, 3,931.74 and 2,380.32 is: 3,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.74 : 3,931.74 = 2,380.32 : x
  2. Step 2: Convert to fraction form
    2,851.74/3,931.74 = 2,380.32/x
  3. Step 3: Cross multiply
    2,851.74x = 3,931.74 × 2,380.32
  4. Step 4: Simplify right side
    2,851.74x = 9,358,799.36
  5. Step 5: Solve for x
    x = 9,358,799.36/2,851.74
  6. Step 6: Final answer
    x = 3,281.79

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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.