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Finding the Fourth Proportional to 5,869.42, 8,806.10 and 1,920.87

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Solution

The fourth proportional to 5,869.42, 8,806.10 and 1,920.87 is: 2,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.42 : 8,806.10 = 1,920.87 : x
  2. Step 2: Convert to fraction form
    5,869.42/8,806.10 = 1,920.87/x
  3. Step 3: Cross multiply
    5,869.42x = 8,806.10 × 1,920.87
  4. Step 4: Simplify right side
    5,869.42x = 16,915,373.31
  5. Step 5: Solve for x
    x = 16,915,373.31/5,869.42
  6. Step 6: Final answer
    x = 2,881.95

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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.