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Finding the Fourth Proportional to 5,199.90, 7,801.22 and 1,868.49

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Solution

The fourth proportional to 5,199.90, 7,801.22 and 1,868.49 is: 2,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.90 : 7,801.22 = 1,868.49 : x
  2. Step 2: Convert to fraction form
    5,199.90/7,801.22 = 1,868.49/x
  3. Step 3: Cross multiply
    5,199.90x = 7,801.22 × 1,868.49
  4. Step 4: Simplify right side
    5,199.90x = 14,576,473.47
  5. Step 5: Solve for x
    x = 14,576,473.47/5,199.90
  6. Step 6: Final answer
    x = 2,803.22

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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.