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Finding the Fourth Proportional to 7,743.70, 11,615.68 and 2,479.70

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Solution

The fourth proportional to 7,743.70, 11,615.68 and 2,479.70 is: 3,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.70 : 11,615.68 = 2,479.70 : x
  2. Step 2: Convert to fraction form
    7,743.70/11,615.68 = 2,479.70/x
  3. Step 3: Cross multiply
    7,743.70x = 11,615.68 × 2,479.70
  4. Step 4: Simplify right side
    7,743.70x = 28,803,401.70
  5. Step 5: Solve for x
    x = 28,803,401.70/7,743.70
  6. Step 6: Final answer
    x = 3,719.59

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1.5x scale

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.