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Finding the Fourth Proportional to 2,074.99, 3,113 and 614.14

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Solution

The fourth proportional to 2,074.99, 3,113 and 614.14 is: 921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.99 : 3,113 = 614.14 : x
  2. Step 2: Convert to fraction form
    2,074.99/3,113 = 614.14/x
  3. Step 3: Cross multiply
    2,074.99x = 3,113 × 614.14
  4. Step 4: Simplify right side
    2,074.99x = 1,911,817.82
  5. Step 5: Solve for x
    x = 1,911,817.82/2,074.99
  6. Step 6: Final answer
    x = 921.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.