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Finding the Fourth Proportional to 7,882.72, 11,830.56 and 3,988.24

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Solution

The fourth proportional to 7,882.72, 11,830.56 and 3,988.24 is: 5,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.72 : 11,830.56 = 3,988.24 : x
  2. Step 2: Convert to fraction form
    7,882.72/11,830.56 = 3,988.24/x
  3. Step 3: Cross multiply
    7,882.72x = 11,830.56 × 3,988.24
  4. Step 4: Simplify right side
    7,882.72x = 47,183,112.61
  5. Step 5: Solve for x
    x = 47,183,112.61/7,882.72
  6. Step 6: Final answer
    x = 5,985.64

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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.