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Finding the Fourth Proportional to 7,472.64, 11,211.12 and 2,856

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Solution

The fourth proportional to 7,472.64, 11,211.12 and 2,856 is: 4,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.64 : 11,211.12 = 2,856 : x
  2. Step 2: Convert to fraction form
    7,472.64/11,211.12 = 2,856/x
  3. Step 3: Cross multiply
    7,472.64x = 11,211.12 × 2,856
  4. Step 4: Simplify right side
    7,472.64x = 32,018,958.72
  5. Step 5: Solve for x
    x = 32,018,958.72/7,472.64
  6. Step 6: Final answer
    x = 4,284.83

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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.