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Finding the Fourth Proportional to 19,948.28, 29,905.14 and 11,723

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Solution

The fourth proportional to 19,948.28, 29,905.14 and 11,723 is: 17,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948.28 : 29,905.14 = 11,723 : x
  2. Step 2: Convert to fraction form
    19,948.28/29,905.14 = 11,723/x
  3. Step 3: Cross multiply
    19,948.28x = 29,905.14 × 11,723
  4. Step 4: Simplify right side
    19,948.28x = 350,577,956.22
  5. Step 5: Solve for x
    x = 350,577,956.22/19,948.28
  6. Step 6: Final answer
    x = 17,574.35

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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.