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Finding the Fourth Proportional to 5,255.86, 7,253.09 and 2,898.00

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Solution

The fourth proportional to 5,255.86, 7,253.09 and 2,898.00 is: 3,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.86 : 7,253.09 = 2,898.00 : x
  2. Step 2: Convert to fraction form
    5,255.86/7,253.09 = 2,898.00/x
  3. Step 3: Cross multiply
    5,255.86x = 7,253.09 × 2,898.00
  4. Step 4: Simplify right side
    5,255.86x = 21,019,487.90
  5. Step 5: Solve for x
    x = 21,019,487.90/5,255.86
  6. Step 6: Final answer
    x = 3,999.25

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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.