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Finding the Fourth Proportional to 5,171, 7,135.80 and 2,813.10

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Solution

The fourth proportional to 5,171, 7,135.80 and 2,813.10 is: 3,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171 : 7,135.80 = 2,813.10 : x
  2. Step 2: Convert to fraction form
    5,171/7,135.80 = 2,813.10/x
  3. Step 3: Cross multiply
    5,171x = 7,135.80 × 2,813.10
  4. Step 4: Simplify right side
    5,171x = 20,073,718.98
  5. Step 5: Solve for x
    x = 20,073,718.98/5,171
  6. Step 6: Final answer
    x = 3,881.98

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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.