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Finding the Fourth Proportional to 3,710.84, 5,118.10 and 2,529.86

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Solution

The fourth proportional to 3,710.84, 5,118.10 and 2,529.86 is: 3,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.84 : 5,118.10 = 2,529.86 : x
  2. Step 2: Convert to fraction form
    3,710.84/5,118.10 = 2,529.86/x
  3. Step 3: Cross multiply
    3,710.84x = 5,118.10 × 2,529.86
  4. Step 4: Simplify right side
    3,710.84x = 12,948,076.47
  5. Step 5: Solve for x
    x = 12,948,076.47/3,710.84
  6. Step 6: Final answer
    x = 3,489.26

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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.