Home / 11,789.76-17,707.20-7,416

Finding the Fourth Proportional to 11,789.76, 17,707.20 and 7,416

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Solution

The fourth proportional to 11,789.76, 17,707.20 and 7,416 is: 11,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.76 : 17,707.20 = 7,416 : x
  2. Step 2: Convert to fraction form
    11,789.76/17,707.20 = 7,416/x
  3. Step 3: Cross multiply
    11,789.76x = 17,707.20 × 7,416
  4. Step 4: Simplify right side
    11,789.76x = 131,316,595.20
  5. Step 5: Solve for x
    x = 131,316,595.20/11,789.76
  6. Step 6: Final answer
    x = 11,138.19

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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.