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Finding the Fourth Proportional to 7,996.32, 11,011.86 and 7,972.02

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Solution

The fourth proportional to 7,996.32, 11,011.86 and 7,972.02 is: 10,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.32 : 11,011.86 = 7,972.02 : x
  2. Step 2: Convert to fraction form
    7,996.32/11,011.86 = 7,972.02/x
  3. Step 3: Cross multiply
    7,996.32x = 11,011.86 × 7,972.02
  4. Step 4: Simplify right side
    7,996.32x = 87,786,768.16
  5. Step 5: Solve for x
    x = 87,786,768.16/7,996.32
  6. Step 6: Final answer
    x = 10,978.40

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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.