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Finding the Fourth Proportional to 8,262.64, 11,378.96 and 7,267.60

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Solution

The fourth proportional to 8,262.64, 11,378.96 and 7,267.60 is: 10,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.64 : 11,378.96 = 7,267.60 : x
  2. Step 2: Convert to fraction form
    8,262.64/11,378.96 = 7,267.60/x
  3. Step 3: Cross multiply
    8,262.64x = 11,378.96 × 7,267.60
  4. Step 4: Simplify right side
    8,262.64x = 82,697,672.80
  5. Step 5: Solve for x
    x = 82,697,672.80/8,262.64
  6. Step 6: Final answer
    x = 10,008.63

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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.