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Finding the Fourth Proportional to 5,141, 7,712.86 and 2,950.50

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Solution

The fourth proportional to 5,141, 7,712.86 and 2,950.50 is: 4,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141 : 7,712.86 = 2,950.50 : x
  2. Step 2: Convert to fraction form
    5,141/7,712.86 = 2,950.50/x
  3. Step 3: Cross multiply
    5,141x = 7,712.86 × 2,950.50
  4. Step 4: Simplify right side
    5,141x = 22,756,793.43
  5. Step 5: Solve for x
    x = 22,756,793.43/5,141
  6. Step 6: Final answer
    x = 4,426.53

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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.