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Finding the Fourth Proportional to 5,812.11, 8,718.15 and 1,429.53

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Solution

The fourth proportional to 5,812.11, 8,718.15 and 1,429.53 is: 2,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.11 : 8,718.15 = 1,429.53 : x
  2. Step 2: Convert to fraction form
    5,812.11/8,718.15 = 1,429.53/x
  3. Step 3: Cross multiply
    5,812.11x = 8,718.15 × 1,429.53
  4. Step 4: Simplify right side
    5,812.11x = 12,462,856.97
  5. Step 5: Solve for x
    x = 12,462,856.97/5,812.11
  6. Step 6: Final answer
    x = 2,144.29

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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.