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Finding the Fourth Proportional to 3,659.68, 5,050.78 and 2,088

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Solution

The fourth proportional to 3,659.68, 5,050.78 and 2,088 is: 2,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.68 : 5,050.78 = 2,088 : x
  2. Step 2: Convert to fraction form
    3,659.68/5,050.78 = 2,088/x
  3. Step 3: Cross multiply
    3,659.68x = 5,050.78 × 2,088
  4. Step 4: Simplify right side
    3,659.68x = 10,546,028.64
  5. Step 5: Solve for x
    x = 10,546,028.64/3,659.68
  6. Step 6: Final answer
    x = 2,881.68

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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.