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Finding the Fourth Proportional to 7,997.88, 12,002.15 and 2,803.76

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Solution

The fourth proportional to 7,997.88, 12,002.15 and 2,803.76 is: 4,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.88 : 12,002.15 = 2,803.76 : x
  2. Step 2: Convert to fraction form
    7,997.88/12,002.15 = 2,803.76/x
  3. Step 3: Cross multiply
    7,997.88x = 12,002.15 × 2,803.76
  4. Step 4: Simplify right side
    7,997.88x = 33,651,148.08
  5. Step 5: Solve for x
    x = 33,651,148.08/7,997.88
  6. Step 6: Final answer
    x = 4,207.51

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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.