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Finding the Fourth Proportional to 6,971.01, 9,620.01 and 3,827.40

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Solution

The fourth proportional to 6,971.01, 9,620.01 and 3,827.40 is: 5,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.01 : 9,620.01 = 3,827.40 : x
  2. Step 2: Convert to fraction form
    6,971.01/9,620.01 = 3,827.40/x
  3. Step 3: Cross multiply
    6,971.01x = 9,620.01 × 3,827.40
  4. Step 4: Simplify right side
    6,971.01x = 36,819,626.27
  5. Step 5: Solve for x
    x = 36,819,626.27/6,971.01
  6. Step 6: Final answer
    x = 5,281.82

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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.