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Finding the Fourth Proportional to 7,882.87, 11,823.87 and 2,952.15

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Solution

The fourth proportional to 7,882.87, 11,823.87 and 2,952.15 is: 4,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.87 : 11,823.87 = 2,952.15 : x
  2. Step 2: Convert to fraction form
    7,882.87/11,823.87 = 2,952.15/x
  3. Step 3: Cross multiply
    7,882.87x = 11,823.87 × 2,952.15
  4. Step 4: Simplify right side
    7,882.87x = 34,905,804.55
  5. Step 5: Solve for x
    x = 34,905,804.55/7,882.87
  6. Step 6: Final answer
    x = 4,428.06

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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.