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Finding the Fourth Proportional to 2,618, 3,925.20 and 1,157.12

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Solution

The fourth proportional to 2,618, 3,925.20 and 1,157.12 is: 1,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618 : 3,925.20 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    2,618/3,925.20 = 1,157.12/x
  3. Step 3: Cross multiply
    2,618x = 3,925.20 × 1,157.12
  4. Step 4: Simplify right side
    2,618x = 4,541,927.42
  5. Step 5: Solve for x
    x = 4,541,927.42/2,618
  6. Step 6: Final answer
    x = 1,734.88

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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.