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Finding the Fourth Proportional to 2,690.80, 4,036.20 and 2,285.80

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Solution

The fourth proportional to 2,690.80, 4,036.20 and 2,285.80 is: 3,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.80 : 4,036.20 = 2,285.80 : x
  2. Step 2: Convert to fraction form
    2,690.80/4,036.20 = 2,285.80/x
  3. Step 3: Cross multiply
    2,690.80x = 4,036.20 × 2,285.80
  4. Step 4: Simplify right side
    2,690.80x = 9,225,945.96
  5. Step 5: Solve for x
    x = 9,225,945.96/2,690.80
  6. Step 6: Final answer
    x = 3,428.70

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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.