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Finding the Fourth Proportional to 5,257.85, 7,255.78 and 2,900.00

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Solution

The fourth proportional to 5,257.85, 7,255.78 and 2,900.00 is: 4,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.85 : 7,255.78 = 2,900.00 : x
  2. Step 2: Convert to fraction form
    5,257.85/7,255.78 = 2,900.00/x
  3. Step 3: Cross multiply
    5,257.85x = 7,255.78 × 2,900.00
  4. Step 4: Simplify right side
    5,257.85x = 21,041,772.89
  5. Step 5: Solve for x
    x = 21,041,772.89/5,257.85
  6. Step 6: Final answer
    x = 4,001.98

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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.