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Finding the Fourth Proportional to 2,068.78, 2,854.97 and 1,184.67

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Solution

The fourth proportional to 2,068.78, 2,854.97 and 1,184.67 is: 1,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.78 : 2,854.97 = 1,184.67 : x
  2. Step 2: Convert to fraction form
    2,068.78/2,854.97 = 1,184.67/x
  3. Step 3: Cross multiply
    2,068.78x = 2,854.97 × 1,184.67
  4. Step 4: Simplify right side
    2,068.78x = 3,382,197.31
  5. Step 5: Solve for x
    x = 3,382,197.31/2,068.78
  6. Step 6: Final answer
    x = 1,634.88

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1.5x scale

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.