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Finding the Fourth Proportional to 5,078, 7,008.60 and 2,870

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Solution

The fourth proportional to 5,078, 7,008.60 and 2,870 is: 3,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078 : 7,008.60 = 2,870 : x
  2. Step 2: Convert to fraction form
    5,078/7,008.60 = 2,870/x
  3. Step 3: Cross multiply
    5,078x = 7,008.60 × 2,870
  4. Step 4: Simplify right side
    5,078x = 20,114,682
  5. Step 5: Solve for x
    x = 20,114,682/5,078
  6. Step 6: Final answer
    x = 3,961.14

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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.