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Finding the Fourth Proportional to 7,742.07, 11,605.96 and 2,810.52

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Solution

The fourth proportional to 7,742.07, 11,605.96 and 2,810.52 is: 4,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.07 : 11,605.96 = 2,810.52 : x
  2. Step 2: Convert to fraction form
    7,742.07/11,605.96 = 2,810.52/x
  3. Step 3: Cross multiply
    7,742.07x = 11,605.96 × 2,810.52
  4. Step 4: Simplify right side
    7,742.07x = 32,618,782.70
  5. Step 5: Solve for x
    x = 32,618,782.70/7,742.07
  6. Step 6: Final answer
    x = 4,213.19

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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.