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Finding the Fourth Proportional to 8,214.78, 12,308.00 and 6,470.93

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Solution

The fourth proportional to 8,214.78, 12,308.00 and 6,470.93 is: 9,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.78 : 12,308.00 = 6,470.93 : x
  2. Step 2: Convert to fraction form
    8,214.78/12,308.00 = 6,470.93/x
  3. Step 3: Cross multiply
    8,214.78x = 12,308.00 × 6,470.93
  4. Step 4: Simplify right side
    8,214.78x = 79,644,112.55
  5. Step 5: Solve for x
    x = 79,644,112.55/8,214.78
  6. Step 6: Final answer
    x = 9,695.22

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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.