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Finding the Fourth Proportional to 6,648.45, 9,959.91 and 3,717.87

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Solution

The fourth proportional to 6,648.45, 9,959.91 and 3,717.87 is: 5,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.45 : 9,959.91 = 3,717.87 : x
  2. Step 2: Convert to fraction form
    6,648.45/9,959.91 = 3,717.87/x
  3. Step 3: Cross multiply
    6,648.45x = 9,959.91 × 3,717.87
  4. Step 4: Simplify right side
    6,648.45x = 37,029,650.59
  5. Step 5: Solve for x
    x = 37,029,650.59/6,648.45
  6. Step 6: Final answer
    x = 5,569.67

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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.