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Finding the Fourth Proportional to 7,672.74, 11,508.63 and 2,742.13

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Solution

The fourth proportional to 7,672.74, 11,508.63 and 2,742.13 is: 4,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.74 : 11,508.63 = 2,742.13 : x
  2. Step 2: Convert to fraction form
    7,672.74/11,508.63 = 2,742.13/x
  3. Step 3: Cross multiply
    7,672.74x = 11,508.63 × 2,742.13
  4. Step 4: Simplify right side
    7,672.74x = 31,558,159.58
  5. Step 5: Solve for x
    x = 31,558,159.58/7,672.74
  6. Step 6: Final answer
    x = 4,113.03

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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.