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Finding the Fourth Proportional to 10,997.76, 16,496.64 and 3,207.20

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Solution

The fourth proportional to 10,997.76, 16,496.64 and 3,207.20 is: 4,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.76 : 16,496.64 = 3,207.20 : x
  2. Step 2: Convert to fraction form
    10,997.76/16,496.64 = 3,207.20/x
  3. Step 3: Cross multiply
    10,997.76x = 16,496.64 × 3,207.20
  4. Step 4: Simplify right side
    10,997.76x = 52,908,023.81
  5. Step 5: Solve for x
    x = 52,908,023.81/10,997.76
  6. Step 6: Final answer
    x = 4,810.80

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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.