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Finding the Fourth Proportional to 7,892.55, 11,837.21 and 2,345.81

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Solution

The fourth proportional to 7,892.55, 11,837.21 and 2,345.81 is: 3,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.55 : 11,837.21 = 2,345.81 : x
  2. Step 2: Convert to fraction form
    7,892.55/11,837.21 = 2,345.81/x
  3. Step 3: Cross multiply
    7,892.55x = 11,837.21 × 2,345.81
  4. Step 4: Simplify right side
    7,892.55x = 27,767,774.68
  5. Step 5: Solve for x
    x = 27,767,774.68/7,892.55
  6. Step 6: Final answer
    x = 3,518.23

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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.