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Finding the Fourth Proportional to 11,463, 15,819.18 and 6,495

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Solution

The fourth proportional to 11,463, 15,819.18 and 6,495 is: 8,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463 : 15,819.18 = 6,495 : x
  2. Step 2: Convert to fraction form
    11,463/15,819.18 = 6,495/x
  3. Step 3: Cross multiply
    11,463x = 15,819.18 × 6,495
  4. Step 4: Simplify right side
    11,463x = 102,745,574.10
  5. Step 5: Solve for x
    x = 102,745,574.10/11,463
  6. Step 6: Final answer
    x = 8,963.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.