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Finding the Fourth Proportional to 7,805.11, 11,697.80 and 4,992.87

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Solution

The fourth proportional to 7,805.11, 11,697.80 and 4,992.87 is: 7,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.11 : 11,697.80 = 4,992.87 : x
  2. Step 2: Convert to fraction form
    7,805.11/11,697.80 = 4,992.87/x
  3. Step 3: Cross multiply
    7,805.11x = 11,697.80 × 4,992.87
  4. Step 4: Simplify right side
    7,805.11x = 58,405,641.67
  5. Step 5: Solve for x
    x = 58,405,641.67/7,805.11
  6. Step 6: Final answer
    x = 7,483.00

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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.