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Finding the Fourth Proportional to 2,097.78, 2,894.13 and 1,351.68

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Solution

The fourth proportional to 2,097.78, 2,894.13 and 1,351.68 is: 1,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.78 : 2,894.13 = 1,351.68 : x
  2. Step 2: Convert to fraction form
    2,097.78/2,894.13 = 1,351.68/x
  3. Step 3: Cross multiply
    2,097.78x = 2,894.13 × 1,351.68
  4. Step 4: Simplify right side
    2,097.78x = 3,911,937.64
  5. Step 5: Solve for x
    x = 3,911,937.64/2,097.78
  6. Step 6: Final answer
    x = 1,864.80

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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.