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Finding the Fourth Proportional to 6,540.86, 9,811.28 and 2,648.00

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Solution

The fourth proportional to 6,540.86, 9,811.28 and 2,648.00 is: 3,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.86 : 9,811.28 = 2,648.00 : x
  2. Step 2: Convert to fraction form
    6,540.86/9,811.28 = 2,648.00/x
  3. Step 3: Cross multiply
    6,540.86x = 9,811.28 × 2,648.00
  4. Step 4: Simplify right side
    6,540.86x = 25,980,207.14
  5. Step 5: Solve for x
    x = 25,980,207.14/6,540.86
  6. Step 6: Final answer
    x = 3,971.99

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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.