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Finding the Fourth Proportional to 7,892.96, 11,820.99 and 6,238.40

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Solution

The fourth proportional to 7,892.96, 11,820.99 and 6,238.40 is: 9,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.96 : 11,820.99 = 6,238.40 : x
  2. Step 2: Convert to fraction form
    7,892.96/11,820.99 = 6,238.40/x
  3. Step 3: Cross multiply
    7,892.96x = 11,820.99 × 6,238.40
  4. Step 4: Simplify right side
    7,892.96x = 73,744,064.02
  5. Step 5: Solve for x
    x = 73,744,064.02/7,892.96
  6. Step 6: Final answer
    x = 9,343.02

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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.