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Finding the Fourth Proportional to 5,702.87, 7,869.87 and 3,184.95

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Solution

The fourth proportional to 5,702.87, 7,869.87 and 3,184.95 is: 4,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.87 : 7,869.87 = 3,184.95 : x
  2. Step 2: Convert to fraction form
    5,702.87/7,869.87 = 3,184.95/x
  3. Step 3: Cross multiply
    5,702.87x = 7,869.87 × 3,184.95
  4. Step 4: Simplify right side
    5,702.87x = 25,065,158.79
  5. Step 5: Solve for x
    x = 25,065,158.79/5,702.87
  6. Step 6: Final answer
    x = 4,395.19

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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.