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Finding the Fourth Proportional to 2,171.59, 2,999.28 and 1,462.30

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Solution

The fourth proportional to 2,171.59, 2,999.28 and 1,462.30 is: 2,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.59 : 2,999.28 = 1,462.30 : x
  2. Step 2: Convert to fraction form
    2,171.59/2,999.28 = 1,462.30/x
  3. Step 3: Cross multiply
    2,171.59x = 2,999.28 × 1,462.30
  4. Step 4: Simplify right side
    2,171.59x = 4,385,847.14
  5. Step 5: Solve for x
    x = 4,385,847.14/2,171.59
  6. Step 6: Final answer
    x = 2,019.65

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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.