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Finding the Fourth Proportional to 6,394.55, 9,570.15 and 3,930.93

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Solution

The fourth proportional to 6,394.55, 9,570.15 and 3,930.93 is: 5,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.55 : 9,570.15 = 3,930.93 : x
  2. Step 2: Convert to fraction form
    6,394.55/9,570.15 = 3,930.93/x
  3. Step 3: Cross multiply
    6,394.55x = 9,570.15 × 3,930.93
  4. Step 4: Simplify right side
    6,394.55x = 37,619,589.74
  5. Step 5: Solve for x
    x = 37,619,589.74/6,394.55
  6. Step 6: Final answer
    x = 5,883.08

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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.