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Finding the Fourth Proportional to 5,931, 8,184.78 and 3,447

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Solution

The fourth proportional to 5,931, 8,184.78 and 3,447 is: 4,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931 : 8,184.78 = 3,447 : x
  2. Step 2: Convert to fraction form
    5,931/8,184.78 = 3,447/x
  3. Step 3: Cross multiply
    5,931x = 8,184.78 × 3,447
  4. Step 4: Simplify right side
    5,931x = 28,212,936.66
  5. Step 5: Solve for x
    x = 28,212,936.66/5,931
  6. Step 6: Final answer
    x = 4,756.86

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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.