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Finding the Fourth Proportional to 2,712.99, 3,744 and 1,534.03

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Solution

The fourth proportional to 2,712.99, 3,744 and 1,534.03 is: 2,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.99 : 3,744 = 1,534.03 : x
  2. Step 2: Convert to fraction form
    2,712.99/3,744 = 1,534.03/x
  3. Step 3: Cross multiply
    2,712.99x = 3,744 × 1,534.03
  4. Step 4: Simplify right side
    2,712.99x = 5,743,413
  5. Step 5: Solve for x
    x = 5,743,413/2,712.99
  6. Step 6: Final answer
    x = 2,117.01

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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.