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Finding the Fourth Proportional to 2,065.31, 3,097.85 and 678.45

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Solution

The fourth proportional to 2,065.31, 3,097.85 and 678.45 is: 1,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.31 : 3,097.85 = 678.45 : x
  2. Step 2: Convert to fraction form
    2,065.31/3,097.85 = 678.45/x
  3. Step 3: Cross multiply
    2,065.31x = 3,097.85 × 678.45
  4. Step 4: Simplify right side
    2,065.31x = 2,101,732.94
  5. Step 5: Solve for x
    x = 2,101,732.94/2,065.31
  6. Step 6: Final answer
    x = 1,017.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.