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Finding the Fourth Proportional to 7,570.80, 11,347.29 and 3,405.92

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Solution

The fourth proportional to 7,570.80, 11,347.29 and 3,405.92 is: 5,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.80 : 11,347.29 = 3,405.92 : x
  2. Step 2: Convert to fraction form
    7,570.80/11,347.29 = 3,405.92/x
  3. Step 3: Cross multiply
    7,570.80x = 11,347.29 × 3,405.92
  4. Step 4: Simplify right side
    7,570.80x = 38,647,905.22
  5. Step 5: Solve for x
    x = 38,647,905.22/7,570.80
  6. Step 6: Final answer
    x = 5,104.86

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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.