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Finding the Fourth Proportional to 8,309.34, 12,463.92 and 7,894.08

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Solution

The fourth proportional to 8,309.34, 12,463.92 and 7,894.08 is: 11,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.34 : 12,463.92 = 7,894.08 : x
  2. Step 2: Convert to fraction form
    8,309.34/12,463.92 = 7,894.08/x
  3. Step 3: Cross multiply
    8,309.34x = 12,463.92 × 7,894.08
  4. Step 4: Simplify right side
    8,309.34x = 98,391,181.59
  5. Step 5: Solve for x
    x = 98,391,181.59/8,309.34
  6. Step 6: Final answer
    x = 11,841.03

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1.5x scale

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.