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Finding the Fourth Proportional to 2,805.52, 4,208.28 and 858.48

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Solution

The fourth proportional to 2,805.52, 4,208.28 and 858.48 is: 1,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.52 : 4,208.28 = 858.48 : x
  2. Step 2: Convert to fraction form
    2,805.52/4,208.28 = 858.48/x
  3. Step 3: Cross multiply
    2,805.52x = 4,208.28 × 858.48
  4. Step 4: Simplify right side
    2,805.52x = 3,612,724.21
  5. Step 5: Solve for x
    x = 3,612,724.21/2,805.52
  6. Step 6: Final answer
    x = 1,287.72

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1.5x scale

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.