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Finding the Fourth Proportional to 6,860, 9,467.21 and 3,875.76

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Solution

The fourth proportional to 6,860, 9,467.21 and 3,875.76 is: 5,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860 : 9,467.21 = 3,875.76 : x
  2. Step 2: Convert to fraction form
    6,860/9,467.21 = 3,875.76/x
  3. Step 3: Cross multiply
    6,860x = 9,467.21 × 3,875.76
  4. Step 4: Simplify right side
    6,860x = 36,692,614.45
  5. Step 5: Solve for x
    x = 36,692,614.45/6,860
  6. Step 6: Final answer
    x = 5,348.78

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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.