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Finding the Fourth Proportional to 2,860, 3,943.44 and 1,926.88

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Solution

The fourth proportional to 2,860, 3,943.44 and 1,926.88 is: 2,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860 : 3,943.44 = 1,926.88 : x
  2. Step 2: Convert to fraction form
    2,860/3,943.44 = 1,926.88/x
  3. Step 3: Cross multiply
    2,860x = 3,943.44 × 1,926.88
  4. Step 4: Simplify right side
    2,860x = 7,598,535.67
  5. Step 5: Solve for x
    x = 7,598,535.67/2,860
  6. Step 6: Final answer
    x = 2,656.83

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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.