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Finding the Fourth Proportional to 19,778.96, 29,659.08 and 7,294.88

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Solution

The fourth proportional to 19,778.96, 29,659.08 and 7,294.88 is: 10,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.96 : 29,659.08 = 7,294.88 : x
  2. Step 2: Convert to fraction form
    19,778.96/29,659.08 = 7,294.88/x
  3. Step 3: Cross multiply
    19,778.96x = 29,659.08 × 7,294.88
  4. Step 4: Simplify right side
    19,778.96x = 216,359,429.51
  5. Step 5: Solve for x
    x = 216,359,429.51/19,778.96
  6. Step 6: Final answer
    x = 10,938.87

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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.