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Finding the Fourth Proportional to 2,046.60, 3,068.10 and 1,225.20

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Solution

The fourth proportional to 2,046.60, 3,068.10 and 1,225.20 is: 1,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.60 : 3,068.10 = 1,225.20 : x
  2. Step 2: Convert to fraction form
    2,046.60/3,068.10 = 1,225.20/x
  3. Step 3: Cross multiply
    2,046.60x = 3,068.10 × 1,225.20
  4. Step 4: Simplify right side
    2,046.60x = 3,759,036.12
  5. Step 5: Solve for x
    x = 3,759,036.12/2,046.60
  6. Step 6: Final answer
    x = 1,836.72

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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.