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Finding the Fourth Proportional to 8,909.76, 13,359.52 and 7,164.48

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Solution

The fourth proportional to 8,909.76, 13,359.52 and 7,164.48 is: 10,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.76 : 13,359.52 = 7,164.48 : x
  2. Step 2: Convert to fraction form
    8,909.76/13,359.52 = 7,164.48/x
  3. Step 3: Cross multiply
    8,909.76x = 13,359.52 × 7,164.48
  4. Step 4: Simplify right side
    8,909.76x = 95,714,013.85
  5. Step 5: Solve for x
    x = 95,714,013.85/8,909.76
  6. Step 6: Final answer
    x = 10,742.60

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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.