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Finding the Fourth Proportional to 3,154, 4,321 and 3,035.77

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Solution

The fourth proportional to 3,154, 4,321 and 3,035.77 is: 4,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154 : 4,321 = 3,035.77 : x
  2. Step 2: Convert to fraction form
    3,154/4,321 = 3,035.77/x
  3. Step 3: Cross multiply
    3,154x = 4,321 × 3,035.77
  4. Step 4: Simplify right side
    3,154x = 13,117,540.57
  5. Step 5: Solve for x
    x = 13,117,540.57/3,154
  6. Step 6: Final answer
    x = 4,159.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.