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Finding the Fourth Proportional to 2,200.43, 3,036.03 and 1,315.61

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Solution

The fourth proportional to 2,200.43, 3,036.03 and 1,315.61 is: 1,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.43 : 3,036.03 = 1,315.61 : x
  2. Step 2: Convert to fraction form
    2,200.43/3,036.03 = 1,315.61/x
  3. Step 3: Cross multiply
    2,200.43x = 3,036.03 × 1,315.61
  4. Step 4: Simplify right side
    2,200.43x = 3,994,230.10
  5. Step 5: Solve for x
    x = 3,994,230.10/2,200.43
  6. Step 6: Final answer
    x = 1,815.20

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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.