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Finding the Fourth Proportional to 6,464, 8,920.68 and 3,812.96

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Solution

The fourth proportional to 6,464, 8,920.68 and 3,812.96 is: 5,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464 : 8,920.68 = 3,812.96 : x
  2. Step 2: Convert to fraction form
    6,464/8,920.68 = 3,812.96/x
  3. Step 3: Cross multiply
    6,464x = 8,920.68 × 3,812.96
  4. Step 4: Simplify right side
    6,464x = 34,014,196.01
  5. Step 5: Solve for x
    x = 34,014,196.01/6,464
  6. Step 6: Final answer
    x = 5,262.10

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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.