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Finding the Fourth Proportional to 13,993.31, 21,001.20 and 6,973.04

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Solution

The fourth proportional to 13,993.31, 21,001.20 and 6,973.04 is: 10,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.31 : 21,001.20 = 6,973.04 : x
  2. Step 2: Convert to fraction form
    13,993.31/21,001.20 = 6,973.04/x
  3. Step 3: Cross multiply
    13,993.31x = 21,001.20 × 6,973.04
  4. Step 4: Simplify right side
    13,993.31x = 146,442,102.64
  5. Step 5: Solve for x
    x = 146,442,102.64/13,993.31
  6. Step 6: Final answer
    x = 10,465.15

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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.