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Finding the Fourth Proportional to 8,643.85, 12,968.87 and 3,647.47

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Solution

The fourth proportional to 8,643.85, 12,968.87 and 3,647.47 is: 5,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.85 : 12,968.87 = 3,647.47 : x
  2. Step 2: Convert to fraction form
    8,643.85/12,968.87 = 3,647.47/x
  3. Step 3: Cross multiply
    8,643.85x = 12,968.87 × 3,647.47
  4. Step 4: Simplify right side
    8,643.85x = 47,303,545.32
  5. Step 5: Solve for x
    x = 47,303,545.32/8,643.85
  6. Step 6: Final answer
    x = 5,472.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.