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Finding the Fourth Proportional to 3,618, 5,416.47 and 2,574.72

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Solution

The fourth proportional to 3,618, 5,416.47 and 2,574.72 is: 3,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618 : 5,416.47 = 2,574.72 : x
  2. Step 2: Convert to fraction form
    3,618/5,416.47 = 2,574.72/x
  3. Step 3: Cross multiply
    3,618x = 5,416.47 × 2,574.72
  4. Step 4: Simplify right side
    3,618x = 13,945,893.64
  5. Step 5: Solve for x
    x = 13,945,893.64/3,618
  6. Step 6: Final answer
    x = 3,854.59

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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.