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Finding the Fourth Proportional to 6,437.68, 8,884.13 and 3,919.89

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Solution

The fourth proportional to 6,437.68, 8,884.13 and 3,919.89 is: 5,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.68 : 8,884.13 = 3,919.89 : x
  2. Step 2: Convert to fraction form
    6,437.68/8,884.13 = 3,919.89/x
  3. Step 3: Cross multiply
    6,437.68x = 8,884.13 × 3,919.89
  4. Step 4: Simplify right side
    6,437.68x = 34,824,848.11
  5. Step 5: Solve for x
    x = 34,824,848.11/6,437.68
  6. Step 6: Final answer
    x = 5,409.54

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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.