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Finding the Fourth Proportional to 2,244.50, 3,097.68 and 1,313

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Solution

The fourth proportional to 2,244.50, 3,097.68 and 1,313 is: 1,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.50 : 3,097.68 = 1,313 : x
  2. Step 2: Convert to fraction form
    2,244.50/3,097.68 = 1,313/x
  3. Step 3: Cross multiply
    2,244.50x = 3,097.68 × 1,313
  4. Step 4: Simplify right side
    2,244.50x = 4,067,253.84
  5. Step 5: Solve for x
    x = 4,067,253.84/2,244.50
  6. Step 6: Final answer
    x = 1,812.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.