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Finding the Fourth Proportional to 7,812.59, 11,719.85 and 2,882.25

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Solution

The fourth proportional to 7,812.59, 11,719.85 and 2,882.25 is: 4,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.59 : 11,719.85 = 2,882.25 : x
  2. Step 2: Convert to fraction form
    7,812.59/11,719.85 = 2,882.25/x
  3. Step 3: Cross multiply
    7,812.59x = 11,719.85 × 2,882.25
  4. Step 4: Simplify right side
    7,812.59x = 33,779,523.25
  5. Step 5: Solve for x
    x = 33,779,523.25/7,812.59
  6. Step 6: Final answer
    x = 4,323.73

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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.