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Finding the Fourth Proportional to 5,070, 6,996.60 and 2,862

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Solution

The fourth proportional to 5,070, 6,996.60 and 2,862 is: 3,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 6,996.60 = 2,862 : x
  2. Step 2: Convert to fraction form
    5,070/6,996.60 = 2,862/x
  3. Step 3: Cross multiply
    5,070x = 6,996.60 × 2,862
  4. Step 4: Simplify right side
    5,070x = 20,024,269.20
  5. Step 5: Solve for x
    x = 20,024,269.20/5,070
  6. Step 6: Final answer
    x = 3,949.56

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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.