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Finding the Fourth Proportional to 2,245.76, 3,098.80 and 1,314.08

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Solution

The fourth proportional to 2,245.76, 3,098.80 and 1,314.08 is: 1,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.76 : 3,098.80 = 1,314.08 : x
  2. Step 2: Convert to fraction form
    2,245.76/3,098.80 = 1,314.08/x
  3. Step 3: Cross multiply
    2,245.76x = 3,098.80 × 1,314.08
  4. Step 4: Simplify right side
    2,245.76x = 4,072,071.10
  5. Step 5: Solve for x
    x = 4,072,071.10/2,245.76
  6. Step 6: Final answer
    x = 1,813.23

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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.