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Finding the Fourth Proportional to 5,710.83, 7,878.45 and 3,351.90

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Solution

The fourth proportional to 5,710.83, 7,878.45 and 3,351.90 is: 4,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.83 : 7,878.45 = 3,351.90 : x
  2. Step 2: Convert to fraction form
    5,710.83/7,878.45 = 3,351.90/x
  3. Step 3: Cross multiply
    5,710.83x = 7,878.45 × 3,351.90
  4. Step 4: Simplify right side
    5,710.83x = 26,407,776.56
  5. Step 5: Solve for x
    x = 26,407,776.56/5,710.83
  6. Step 6: Final answer
    x = 4,624.16

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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.