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Finding the Fourth Proportional to 2,811.84, 3,878.56 and 1,750.20

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Solution

The fourth proportional to 2,811.84, 3,878.56 and 1,750.20 is: 2,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.84 : 3,878.56 = 1,750.20 : x
  2. Step 2: Convert to fraction form
    2,811.84/3,878.56 = 1,750.20/x
  3. Step 3: Cross multiply
    2,811.84x = 3,878.56 × 1,750.20
  4. Step 4: Simplify right side
    2,811.84x = 6,788,255.71
  5. Step 5: Solve for x
    x = 6,788,255.71/2,811.84
  6. Step 6: Final answer
    x = 2,414.17

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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.