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Finding the Fourth Proportional to 3,439, 4,745.71 and 1,867.11

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Solution

The fourth proportional to 3,439, 4,745.71 and 1,867.11 is: 2,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439 : 4,745.71 = 1,867.11 : x
  2. Step 2: Convert to fraction form
    3,439/4,745.71 = 1,867.11/x
  3. Step 3: Cross multiply
    3,439x = 4,745.71 × 1,867.11
  4. Step 4: Simplify right side
    3,439x = 8,860,762.60
  5. Step 5: Solve for x
    x = 8,860,762.60/3,439
  6. Step 6: Final answer
    x = 2,576.55

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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.