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Finding the Fourth Proportional to 5,768, 7,959.84 and 3,284.48

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Solution

The fourth proportional to 5,768, 7,959.84 and 3,284.48 is: 4,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 7,959.84 = 3,284.48 : x
  2. Step 2: Convert to fraction form
    5,768/7,959.84 = 3,284.48/x
  3. Step 3: Cross multiply
    5,768x = 7,959.84 × 3,284.48
  4. Step 4: Simplify right side
    5,768x = 26,143,935.28
  5. Step 5: Solve for x
    x = 26,143,935.28/5,768
  6. Step 6: Final answer
    x = 4,532.58

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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.