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Finding the Fourth Proportional to 11,871.98, 17,807.90 and 4,850.50

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Solution

The fourth proportional to 11,871.98, 17,807.90 and 4,850.50 is: 7,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.98 : 17,807.90 = 4,850.50 : x
  2. Step 2: Convert to fraction form
    11,871.98/17,807.90 = 4,850.50/x
  3. Step 3: Cross multiply
    11,871.98x = 17,807.90 × 4,850.50
  4. Step 4: Simplify right side
    11,871.98x = 86,377,218.95
  5. Step 5: Solve for x
    x = 86,377,218.95/11,871.98
  6. Step 6: Final answer
    x = 7,275.72

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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.