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Finding the Fourth Proportional to 3,028.58, 4,542.49 and 807.58

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Solution

The fourth proportional to 3,028.58, 4,542.49 and 807.58 is: 1,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.58 : 4,542.49 = 807.58 : x
  2. Step 2: Convert to fraction form
    3,028.58/4,542.49 = 807.58/x
  3. Step 3: Cross multiply
    3,028.58x = 4,542.49 × 807.58
  4. Step 4: Simplify right side
    3,028.58x = 3,668,397.32
  5. Step 5: Solve for x
    x = 3,668,397.32/3,028.58
  6. Step 6: Final answer
    x = 1,211.26

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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.