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Finding the Fourth Proportional to 11,347.98, 15,651.27 and 7,809.90

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Solution

The fourth proportional to 11,347.98, 15,651.27 and 7,809.90 is: 10,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.98 : 15,651.27 = 7,809.90 : x
  2. Step 2: Convert to fraction form
    11,347.98/15,651.27 = 7,809.90/x
  3. Step 3: Cross multiply
    11,347.98x = 15,651.27 × 7,809.90
  4. Step 4: Simplify right side
    11,347.98x = 122,234,853.57
  5. Step 5: Solve for x
    x = 122,234,853.57/11,347.98
  6. Step 6: Final answer
    x = 10,771.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.