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Finding the Fourth Proportional to 6,507.98, 8,981.01 and 3,818.64

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Solution

The fourth proportional to 6,507.98, 8,981.01 and 3,818.64 is: 5,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.98 : 8,981.01 = 3,818.64 : x
  2. Step 2: Convert to fraction form
    6,507.98/8,981.01 = 3,818.64/x
  3. Step 3: Cross multiply
    6,507.98x = 8,981.01 × 3,818.64
  4. Step 4: Simplify right side
    6,507.98x = 34,295,277.71
  5. Step 5: Solve for x
    x = 34,295,277.71/6,507.98
  6. Step 6: Final answer
    x = 5,269.73

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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.