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Finding the Fourth Proportional to 5,671.85, 7,827.39 and 3,153.95

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Solution

The fourth proportional to 5,671.85, 7,827.39 and 3,153.95 is: 4,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.85 : 7,827.39 = 3,153.95 : x
  2. Step 2: Convert to fraction form
    5,671.85/7,827.39 = 3,153.95/x
  3. Step 3: Cross multiply
    5,671.85x = 7,827.39 × 3,153.95
  4. Step 4: Simplify right side
    5,671.85x = 24,687,196.69
  5. Step 5: Solve for x
    x = 24,687,196.69/5,671.85
  6. Step 6: Final answer
    x = 4,352.58

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1.5x scale

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.