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Finding the Fourth Proportional to 19,707.70, 29,523.15 and 11,893.30

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Solution

The fourth proportional to 19,707.70, 29,523.15 and 11,893.30 is: 17,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.70 : 29,523.15 = 11,893.30 : x
  2. Step 2: Convert to fraction form
    19,707.70/29,523.15 = 11,893.30/x
  3. Step 3: Cross multiply
    19,707.70x = 29,523.15 × 11,893.30
  4. Step 4: Simplify right side
    19,707.70x = 351,127,679.90
  5. Step 5: Solve for x
    x = 351,127,679.90/19,707.70
  6. Step 6: Final answer
    x = 17,816.78

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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.