Home / 7,838.78-11,758.14-2,577.48

Finding the Fourth Proportional to 7,838.78, 11,758.14 and 2,577.48

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Solution

The fourth proportional to 7,838.78, 11,758.14 and 2,577.48 is: 3,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.78 : 11,758.14 = 2,577.48 : x
  2. Step 2: Convert to fraction form
    7,838.78/11,758.14 = 2,577.48/x
  3. Step 3: Cross multiply
    7,838.78x = 11,758.14 × 2,577.48
  4. Step 4: Simplify right side
    7,838.78x = 30,306,370.69
  5. Step 5: Solve for x
    x = 30,306,370.69/7,838.78
  6. Step 6: Final answer
    x = 3,866.21

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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.