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Finding the Fourth Proportional to 5,274.80, 7,897.62 and 2,664.98

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Solution

The fourth proportional to 5,274.80, 7,897.62 and 2,664.98 is: 3,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.80 : 7,897.62 = 2,664.98 : x
  2. Step 2: Convert to fraction form
    5,274.80/7,897.62 = 2,664.98/x
  3. Step 3: Cross multiply
    5,274.80x = 7,897.62 × 2,664.98
  4. Step 4: Simplify right side
    5,274.80x = 21,046,999.35
  5. Step 5: Solve for x
    x = 21,046,999.35/5,274.80
  6. Step 6: Final answer
    x = 3,990.10

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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.