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Finding the Fourth Proportional to 1,891.62, 2,840.22 and 1,164.24

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Solution

The fourth proportional to 1,891.62, 2,840.22 and 1,164.24 is: 1,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.62 : 2,840.22 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    1,891.62/2,840.22 = 1,164.24/x
  3. Step 3: Cross multiply
    1,891.62x = 2,840.22 × 1,164.24
  4. Step 4: Simplify right side
    1,891.62x = 3,306,697.73
  5. Step 5: Solve for x
    x = 3,306,697.73/1,891.62
  6. Step 6: Final answer
    x = 1,748.08

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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.