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Finding the Fourth Proportional to 7,484.64, 11,226.93 and 2,805

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Solution

The fourth proportional to 7,484.64, 11,226.93 and 2,805 is: 4,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.64 : 11,226.93 = 2,805 : x
  2. Step 2: Convert to fraction form
    7,484.64/11,226.93 = 2,805/x
  3. Step 3: Cross multiply
    7,484.64x = 11,226.93 × 2,805
  4. Step 4: Simplify right side
    7,484.64x = 31,491,538.65
  5. Step 5: Solve for x
    x = 31,491,538.65/7,484.64
  6. Step 6: Final answer
    x = 4,207.49

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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.