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Finding the Fourth Proportional to 5,601, 8,402.49 and 1,903.62

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Solution

The fourth proportional to 5,601, 8,402.49 and 1,903.62 is: 2,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 8,402.49 = 1,903.62 : x
  2. Step 2: Convert to fraction form
    5,601/8,402.49 = 1,903.62/x
  3. Step 3: Cross multiply
    5,601x = 8,402.49 × 1,903.62
  4. Step 4: Simplify right side
    5,601x = 15,995,148.01
  5. Step 5: Solve for x
    x = 15,995,148.01/5,601
  6. Step 6: Final answer
    x = 2,855.77

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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.