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Finding the Fourth Proportional to 2,489.72, 3,730.46 and 1,562.99

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Solution

The fourth proportional to 2,489.72, 3,730.46 and 1,562.99 is: 2,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.72 : 3,730.46 = 1,562.99 : x
  2. Step 2: Convert to fraction form
    2,489.72/3,730.46 = 1,562.99/x
  3. Step 3: Cross multiply
    2,489.72x = 3,730.46 × 1,562.99
  4. Step 4: Simplify right side
    2,489.72x = 5,830,645.21
  5. Step 5: Solve for x
    x = 5,830,645.21/2,489.72
  6. Step 6: Final answer
    x = 2,341.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.