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Finding the Fourth Proportional to 6,509.34, 8,981.15 and 3,855.78

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Solution

The fourth proportional to 6,509.34, 8,981.15 and 3,855.78 is: 5,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.34 : 8,981.15 = 3,855.78 : x
  2. Step 2: Convert to fraction form
    6,509.34/8,981.15 = 3,855.78/x
  3. Step 3: Cross multiply
    6,509.34x = 8,981.15 × 3,855.78
  4. Step 4: Simplify right side
    6,509.34x = 34,629,319.27
  5. Step 5: Solve for x
    x = 34,629,319.27/6,509.34
  6. Step 6: Final answer
    x = 5,319.94

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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.