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Finding the Fourth Proportional to 20,650.74, 30,978.15 and 6,607.24

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Solution

The fourth proportional to 20,650.74, 30,978.15 and 6,607.24 is: 9,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.74 : 30,978.15 = 6,607.24 : x
  2. Step 2: Convert to fraction form
    20,650.74/30,978.15 = 6,607.24/x
  3. Step 3: Cross multiply
    20,650.74x = 30,978.15 × 6,607.24
  4. Step 4: Simplify right side
    20,650.74x = 204,680,071.81
  5. Step 5: Solve for x
    x = 204,680,071.81/20,650.74
  6. Step 6: Final answer
    x = 9,911.51

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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.