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Finding the Fourth Proportional to 5,203.69, 7,801.87 and 1,916.35

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Solution

The fourth proportional to 5,203.69, 7,801.87 and 1,916.35 is: 2,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.69 : 7,801.87 = 1,916.35 : x
  2. Step 2: Convert to fraction form
    5,203.69/7,801.87 = 1,916.35/x
  3. Step 3: Cross multiply
    5,203.69x = 7,801.87 × 1,916.35
  4. Step 4: Simplify right side
    5,203.69x = 14,951,103.99
  5. Step 5: Solve for x
    x = 14,951,103.99/5,203.69
  6. Step 6: Final answer
    x = 2,873.18

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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.