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Finding the Fourth Proportional to 3,113, 4,296.50 and 1,786.70

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Solution

The fourth proportional to 3,113, 4,296.50 and 1,786.70 is: 2,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113 : 4,296.50 = 1,786.70 : x
  2. Step 2: Convert to fraction form
    3,113/4,296.50 = 1,786.70/x
  3. Step 3: Cross multiply
    3,113x = 4,296.50 × 1,786.70
  4. Step 4: Simplify right side
    3,113x = 7,676,556.55
  5. Step 5: Solve for x
    x = 7,676,556.55/3,113
  6. Step 6: Final answer
    x = 2,465.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.