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Finding the Fourth Proportional to 5,149.91, 7,710.15 and 4,822.95

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Solution

The fourth proportional to 5,149.91, 7,710.15 and 4,822.95 is: 7,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.91 : 7,710.15 = 4,822.95 : x
  2. Step 2: Convert to fraction form
    5,149.91/7,710.15 = 4,822.95/x
  3. Step 3: Cross multiply
    5,149.91x = 7,710.15 × 4,822.95
  4. Step 4: Simplify right side
    5,149.91x = 37,185,667.94
  5. Step 5: Solve for x
    x = 37,185,667.94/5,149.91
  6. Step 6: Final answer
    x = 7,220.64

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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.