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Finding the Fourth Proportional to 6,400.67, 9,595.14 and 5,419.79

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Solution

The fourth proportional to 6,400.67, 9,595.14 and 5,419.79 is: 8,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.67 : 9,595.14 = 5,419.79 : x
  2. Step 2: Convert to fraction form
    6,400.67/9,595.14 = 5,419.79/x
  3. Step 3: Cross multiply
    6,400.67x = 9,595.14 × 5,419.79
  4. Step 4: Simplify right side
    6,400.67x = 52,003,611.50
  5. Step 5: Solve for x
    x = 52,003,611.50/6,400.67
  6. Step 6: Final answer
    x = 8,124.72

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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.