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Finding the Fourth Proportional to 2,796.78, 3,859.66 and 1,677.50

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Solution

The fourth proportional to 2,796.78, 3,859.66 and 1,677.50 is: 2,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.78 : 3,859.66 = 1,677.50 : x
  2. Step 2: Convert to fraction form
    2,796.78/3,859.66 = 1,677.50/x
  3. Step 3: Cross multiply
    2,796.78x = 3,859.66 × 1,677.50
  4. Step 4: Simplify right side
    2,796.78x = 6,474,585.11
  5. Step 5: Solve for x
    x = 6,474,585.11/2,796.78
  6. Step 6: Final answer
    x = 2,315.01

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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.