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Finding the Fourth Proportional to 5,712.84, 7,887.16 and 3,726.84

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Solution

The fourth proportional to 5,712.84, 7,887.16 and 3,726.84 is: 5,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.84 : 7,887.16 = 3,726.84 : x
  2. Step 2: Convert to fraction form
    5,712.84/7,887.16 = 3,726.84/x
  3. Step 3: Cross multiply
    5,712.84x = 7,887.16 × 3,726.84
  4. Step 4: Simplify right side
    5,712.84x = 29,394,183.37
  5. Step 5: Solve for x
    x = 29,394,183.37/5,712.84
  6. Step 6: Final answer
    x = 5,145.28

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1.5x scale

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.