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Finding the Fourth Proportional to 7,803.97, 11,700.49 and 2,872.97

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Solution

The fourth proportional to 7,803.97, 11,700.49 and 2,872.97 is: 4,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.97 : 11,700.49 = 2,872.97 : x
  2. Step 2: Convert to fraction form
    7,803.97/11,700.49 = 2,872.97/x
  3. Step 3: Cross multiply
    7,803.97x = 11,700.49 × 2,872.97
  4. Step 4: Simplify right side
    7,803.97x = 33,615,156.76
  5. Step 5: Solve for x
    x = 33,615,156.76/7,803.97
  6. Step 6: Final answer
    x = 4,307.44

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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.