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Finding the Fourth Proportional to 8,401.28, 12,594.64 and 6,207

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Solution

The fourth proportional to 8,401.28, 12,594.64 and 6,207 is: 9,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.28 : 12,594.64 = 6,207 : x
  2. Step 2: Convert to fraction form
    8,401.28/12,594.64 = 6,207/x
  3. Step 3: Cross multiply
    8,401.28x = 12,594.64 × 6,207
  4. Step 4: Simplify right side
    8,401.28x = 78,174,930.48
  5. Step 5: Solve for x
    x = 78,174,930.48/8,401.28
  6. Step 6: Final answer
    x = 9,305.12

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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.