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Finding the Fourth Proportional to 4,102.29, 5,661 and 2,309.73

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Solution

The fourth proportional to 4,102.29, 5,661 and 2,309.73 is: 3,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.29 : 5,661 = 2,309.73 : x
  2. Step 2: Convert to fraction form
    4,102.29/5,661 = 2,309.73/x
  3. Step 3: Cross multiply
    4,102.29x = 5,661 × 2,309.73
  4. Step 4: Simplify right side
    4,102.29x = 13,075,381.53
  5. Step 5: Solve for x
    x = 13,075,381.53/4,102.29
  6. Step 6: Final answer
    x = 3,187.34

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1.5x scale

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.