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Finding the Fourth Proportional to 6,643.74, 9,946.31 and 3,861.93

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Solution

The fourth proportional to 6,643.74, 9,946.31 and 3,861.93 is: 5,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.74 : 9,946.31 = 3,861.93 : x
  2. Step 2: Convert to fraction form
    6,643.74/9,946.31 = 3,861.93/x
  3. Step 3: Cross multiply
    6,643.74x = 9,946.31 × 3,861.93
  4. Step 4: Simplify right side
    6,643.74x = 38,411,933.67
  5. Step 5: Solve for x
    x = 38,411,933.67/6,643.74
  6. Step 6: Final answer
    x = 5,781.67

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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.