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Finding the Fourth Proportional to 3,985.74, 5,978.16 and 1,063.85

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Solution

The fourth proportional to 3,985.74, 5,978.16 and 1,063.85 is: 1,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.74 : 5,978.16 = 1,063.85 : x
  2. Step 2: Convert to fraction form
    3,985.74/5,978.16 = 1,063.85/x
  3. Step 3: Cross multiply
    3,985.74x = 5,978.16 × 1,063.85
  4. Step 4: Simplify right side
    3,985.74x = 6,359,835.63
  5. Step 5: Solve for x
    x = 6,359,835.63/3,985.74
  6. Step 6: Final answer
    x = 1,595.65

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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.