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Finding the Fourth Proportional to 6,281.85, 9,404.55 and 3,815.40

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Solution

The fourth proportional to 6,281.85, 9,404.55 and 3,815.40 is: 5,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.85 : 9,404.55 = 3,815.40 : x
  2. Step 2: Convert to fraction form
    6,281.85/9,404.55 = 3,815.40/x
  3. Step 3: Cross multiply
    6,281.85x = 9,404.55 × 3,815.40
  4. Step 4: Simplify right side
    6,281.85x = 35,882,120.07
  5. Step 5: Solve for x
    x = 35,882,120.07/6,281.85
  6. Step 6: Final answer
    x = 5,712.03

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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.