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Finding the Fourth Proportional to 5,225.78, 7,211.63 and 2,868.01

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Solution

The fourth proportional to 5,225.78, 7,211.63 and 2,868.01 is: 3,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.78 : 7,211.63 = 2,868.01 : x
  2. Step 2: Convert to fraction form
    5,225.78/7,211.63 = 2,868.01/x
  3. Step 3: Cross multiply
    5,225.78x = 7,211.63 × 2,868.01
  4. Step 4: Simplify right side
    5,225.78x = 20,683,026.96
  5. Step 5: Solve for x
    x = 20,683,026.96/5,225.78
  6. Step 6: Final answer
    x = 3,957.88

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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.