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Finding the Fourth Proportional to 2,245.52, 3,093 and 1,748.12

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Solution

The fourth proportional to 2,245.52, 3,093 and 1,748.12 is: 2,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.52 : 3,093 = 1,748.12 : x
  2. Step 2: Convert to fraction form
    2,245.52/3,093 = 1,748.12/x
  3. Step 3: Cross multiply
    2,245.52x = 3,093 × 1,748.12
  4. Step 4: Simplify right side
    2,245.52x = 5,406,935.16
  5. Step 5: Solve for x
    x = 5,406,935.16/2,245.52
  6. Step 6: Final answer
    x = 2,407.88

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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.