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Finding the Fourth Proportional to 3,715.66, 5,575.10 and 1,865.82

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Solution

The fourth proportional to 3,715.66, 5,575.10 and 1,865.82 is: 2,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.66 : 5,575.10 = 1,865.82 : x
  2. Step 2: Convert to fraction form
    3,715.66/5,575.10 = 1,865.82/x
  3. Step 3: Cross multiply
    3,715.66x = 5,575.10 × 1,865.82
  4. Step 4: Simplify right side
    3,715.66x = 10,402,133.08
  5. Step 5: Solve for x
    x = 10,402,133.08/3,715.66
  6. Step 6: Final answer
    x = 2,799.54

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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.