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Finding the Fourth Proportional to 4,102.42, 5,660.84 and 2,309.68

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Solution

The fourth proportional to 4,102.42, 5,660.84 and 2,309.68 is: 3,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.42 : 5,660.84 = 2,309.68 : x
  2. Step 2: Convert to fraction form
    4,102.42/5,660.84 = 2,309.68/x
  3. Step 3: Cross multiply
    4,102.42x = 5,660.84 × 2,309.68
  4. Step 4: Simplify right side
    4,102.42x = 13,074,728.93
  5. Step 5: Solve for x
    x = 13,074,728.93/4,102.42
  6. Step 6: Final answer
    x = 3,187.08

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