Home / 7,838.07-11,758.19-2,291.82

Finding the Fourth Proportional to 7,838.07, 11,758.19 and 2,291.82

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Solution

The fourth proportional to 7,838.07, 11,758.19 and 2,291.82 is: 3,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.07 : 11,758.19 = 2,291.82 : x
  2. Step 2: Convert to fraction form
    7,838.07/11,758.19 = 2,291.82/x
  3. Step 3: Cross multiply
    7,838.07x = 11,758.19 × 2,291.82
  4. Step 4: Simplify right side
    7,838.07x = 26,947,643.55
  5. Step 5: Solve for x
    x = 26,947,643.55/7,838.07
  6. Step 6: Final answer
    x = 3,438.05

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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.