Home / 5,038-6,952.44-2,942.14

Finding the Fourth Proportional to 5,038, 6,952.44 and 2,942.14

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Solution

The fourth proportional to 5,038, 6,952.44 and 2,942.14 is: 4,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038 : 6,952.44 = 2,942.14 : x
  2. Step 2: Convert to fraction form
    5,038/6,952.44 = 2,942.14/x
  3. Step 3: Cross multiply
    5,038x = 6,952.44 × 2,942.14
  4. Step 4: Simplify right side
    5,038x = 20,455,051.82
  5. Step 5: Solve for x
    x = 20,455,051.82/5,038
  6. Step 6: Final answer
    x = 4,060.15

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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.