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Finding the Fourth Proportional to 5,204, 7,806.77 and 1,916.85

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Solution

The fourth proportional to 5,204, 7,806.77 and 1,916.85 is: 2,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 7,806.77 = 1,916.85 : x
  2. Step 2: Convert to fraction form
    5,204/7,806.77 = 1,916.85/x
  3. Step 3: Cross multiply
    5,204x = 7,806.77 × 1,916.85
  4. Step 4: Simplify right side
    5,204x = 14,964,407.07
  5. Step 5: Solve for x
    x = 14,964,407.07/5,204
  6. Step 6: Final answer
    x = 2,875.56

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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.