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Finding the Fourth Proportional to 3,671.61, 5,066.80 and 1,993.00

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Solution

The fourth proportional to 3,671.61, 5,066.80 and 1,993.00 is: 2,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.61 : 5,066.80 = 1,993.00 : x
  2. Step 2: Convert to fraction form
    3,671.61/5,066.80 = 1,993.00/x
  3. Step 3: Cross multiply
    3,671.61x = 5,066.80 × 1,993.00
  4. Step 4: Simplify right side
    3,671.61x = 10,098,117.24
  5. Step 5: Solve for x
    x = 10,098,117.24/3,671.61
  6. Step 6: Final answer
    x = 2,750.33

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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.