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Finding the Fourth Proportional to 6,865.89, 9,472.70 and 3,881.43

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Solution

The fourth proportional to 6,865.89, 9,472.70 and 3,881.43 is: 5,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.89 : 9,472.70 = 3,881.43 : x
  2. Step 2: Convert to fraction form
    6,865.89/9,472.70 = 3,881.43/x
  3. Step 3: Cross multiply
    6,865.89x = 9,472.70 × 3,881.43
  4. Step 4: Simplify right side
    6,865.89x = 36,767,602.55
  5. Step 5: Solve for x
    x = 36,767,602.55/6,865.89
  6. Step 6: Final answer
    x = 5,355.11

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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.