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Finding the Fourth Proportional to 6,615.75, 9,914.36 and 4,971.24

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Solution

The fourth proportional to 6,615.75, 9,914.36 and 4,971.24 is: 7,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.75 : 9,914.36 = 4,971.24 : x
  2. Step 2: Convert to fraction form
    6,615.75/9,914.36 = 4,971.24/x
  3. Step 3: Cross multiply
    6,615.75x = 9,914.36 × 4,971.24
  4. Step 4: Simplify right side
    6,615.75x = 49,286,675.33
  5. Step 5: Solve for x
    x = 49,286,675.33/6,615.75
  6. Step 6: Final answer
    x = 7,449.90

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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.