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Finding the Fourth Proportional to 5,111, 7,053.12 and 2,873.25

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Solution

The fourth proportional to 5,111, 7,053.12 and 2,873.25 is: 3,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111 : 7,053.12 = 2,873.25 : x
  2. Step 2: Convert to fraction form
    5,111/7,053.12 = 2,873.25/x
  3. Step 3: Cross multiply
    5,111x = 7,053.12 × 2,873.25
  4. Step 4: Simplify right side
    5,111x = 20,265,377.04
  5. Step 5: Solve for x
    x = 20,265,377.04/5,111
  6. Step 6: Final answer
    x = 3,965.05

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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.