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Finding the Fourth Proportional to 6,468.78, 8,927.64 and 3,636.14

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Solution

The fourth proportional to 6,468.78, 8,927.64 and 3,636.14 is: 5,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.78 : 8,927.64 = 3,636.14 : x
  2. Step 2: Convert to fraction form
    6,468.78/8,927.64 = 3,636.14/x
  3. Step 3: Cross multiply
    6,468.78x = 8,927.64 × 3,636.14
  4. Step 4: Simplify right side
    6,468.78x = 32,462,148.91
  5. Step 5: Solve for x
    x = 32,462,148.91/6,468.78
  6. Step 6: Final answer
    x = 5,018.28

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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.