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Finding the Fourth Proportional to 5,702.63, 7,869.62 and 3,218.63

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Solution

The fourth proportional to 5,702.63, 7,869.62 and 3,218.63 is: 4,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.63 : 7,869.62 = 3,218.63 : x
  2. Step 2: Convert to fraction form
    5,702.63/7,869.62 = 3,218.63/x
  3. Step 3: Cross multiply
    5,702.63x = 7,869.62 × 3,218.63
  4. Step 4: Simplify right side
    5,702.63x = 25,329,363.72
  5. Step 5: Solve for x
    x = 25,329,363.72/5,702.63
  6. Step 6: Final answer
    x = 4,441.70

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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.