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Finding the Fourth Proportional to 7,659.36, 11,456.64 and 7,166.88

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Solution

The fourth proportional to 7,659.36, 11,456.64 and 7,166.88 is: 10,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.36 : 11,456.64 = 7,166.88 : x
  2. Step 2: Convert to fraction form
    7,659.36/11,456.64 = 7,166.88/x
  3. Step 3: Cross multiply
    7,659.36x = 11,456.64 × 7,166.88
  4. Step 4: Simplify right side
    7,659.36x = 82,108,364.08
  5. Step 5: Solve for x
    x = 82,108,364.08/7,659.36
  6. Step 6: Final answer
    x = 10,720.00

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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.