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Finding the Fourth Proportional to 8,525.92, 11,749.44 and 7,106.80

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Solution

The fourth proportional to 8,525.92, 11,749.44 and 7,106.80 is: 9,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.92 : 11,749.44 = 7,106.80 : x
  2. Step 2: Convert to fraction form
    8,525.92/11,749.44 = 7,106.80/x
  3. Step 3: Cross multiply
    8,525.92x = 11,749.44 × 7,106.80
  4. Step 4: Simplify right side
    8,525.92x = 83,500,920.19
  5. Step 5: Solve for x
    x = 83,500,920.19/8,525.92
  6. Step 6: Final answer
    x = 9,793.77

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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.