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Finding the Fourth Proportional to 5,111, 7,053.18 and 2,903

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Solution

The fourth proportional to 5,111, 7,053.18 and 2,903 is: 4,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111 : 7,053.18 = 2,903 : x
  2. Step 2: Convert to fraction form
    5,111/7,053.18 = 2,903/x
  3. Step 3: Cross multiply
    5,111x = 7,053.18 × 2,903
  4. Step 4: Simplify right side
    5,111x = 20,475,381.54
  5. Step 5: Solve for x
    x = 20,475,381.54/5,111
  6. Step 6: Final answer
    x = 4,006.14

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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.