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Finding the Fourth Proportional to 9,675.92, 13,358.76 and 8,679.44

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Solution

The fourth proportional to 9,675.92, 13,358.76 and 8,679.44 is: 11,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.92 : 13,358.76 = 8,679.44 : x
  2. Step 2: Convert to fraction form
    9,675.92/13,358.76 = 8,679.44/x
  3. Step 3: Cross multiply
    9,675.92x = 13,358.76 × 8,679.44
  4. Step 4: Simplify right side
    9,675.92x = 115,946,555.89
  5. Step 5: Solve for x
    x = 115,946,555.89/9,675.92
  6. Step 6: Final answer
    x = 11,983.00

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Half scale
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1.5x scale

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.