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Finding the Fourth Proportional to 5,235, 7,851.06 and 1,949.40

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Solution

The fourth proportional to 5,235, 7,851.06 and 1,949.40 is: 2,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235 : 7,851.06 = 1,949.40 : x
  2. Step 2: Convert to fraction form
    5,235/7,851.06 = 1,949.40/x
  3. Step 3: Cross multiply
    5,235x = 7,851.06 × 1,949.40
  4. Step 4: Simplify right side
    5,235x = 15,304,856.36
  5. Step 5: Solve for x
    x = 15,304,856.36/5,235
  6. Step 6: Final answer
    x = 2,923.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.