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Finding the Fourth Proportional to 5,748.50, 8,615.77 and 2,624.22

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Solution

The fourth proportional to 5,748.50, 8,615.77 and 2,624.22 is: 3,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.50 : 8,615.77 = 2,624.22 : x
  2. Step 2: Convert to fraction form
    5,748.50/8,615.77 = 2,624.22/x
  3. Step 3: Cross multiply
    5,748.50x = 8,615.77 × 2,624.22
  4. Step 4: Simplify right side
    5,748.50x = 22,609,675.95
  5. Step 5: Solve for x
    x = 22,609,675.95/5,748.50
  6. Step 6: Final answer
    x = 3,933.14

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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.