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Finding the Fourth Proportional to 5,311, 7,966.52 and 1,663

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Solution

The fourth proportional to 5,311, 7,966.52 and 1,663 is: 2,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311 : 7,966.52 = 1,663 : x
  2. Step 2: Convert to fraction form
    5,311/7,966.52 = 1,663/x
  3. Step 3: Cross multiply
    5,311x = 7,966.52 × 1,663
  4. Step 4: Simplify right side
    5,311x = 13,248,322.76
  5. Step 5: Solve for x
    x = 13,248,322.76/5,311
  6. Step 6: Final answer
    x = 2,494.51

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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.