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Finding the Fourth Proportional to 19,765.92, 29,646.05 and 6,618.41

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Solution

The fourth proportional to 19,765.92, 29,646.05 and 6,618.41 is: 9,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.92 : 29,646.05 = 6,618.41 : x
  2. Step 2: Convert to fraction form
    19,765.92/29,646.05 = 6,618.41/x
  3. Step 3: Cross multiply
    19,765.92x = 29,646.05 × 6,618.41
  4. Step 4: Simplify right side
    19,765.92x = 196,209,680.86
  5. Step 5: Solve for x
    x = 196,209,680.86/19,765.92
  6. Step 6: Final answer
    x = 9,926.66

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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.