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Finding the Fourth Proportional to 6,378.62, 8,802.49 and 3,545.91

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Solution

The fourth proportional to 6,378.62, 8,802.49 and 3,545.91 is: 4,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.62 : 8,802.49 = 3,545.91 : x
  2. Step 2: Convert to fraction form
    6,378.62/8,802.49 = 3,545.91/x
  3. Step 3: Cross multiply
    6,378.62x = 8,802.49 × 3,545.91
  4. Step 4: Simplify right side
    6,378.62x = 31,212,793.30
  5. Step 5: Solve for x
    x = 31,212,793.30/6,378.62
  6. Step 6: Final answer
    x = 4,893.35

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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.