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Finding the Fourth Proportional to 13,693.26, 20,442.63 and 13,207.26

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Solution

The fourth proportional to 13,693.26, 20,442.63 and 13,207.26 is: 19,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.26 : 20,442.63 = 13,207.26 : x
  2. Step 2: Convert to fraction form
    13,693.26/20,442.63 = 13,207.26/x
  3. Step 3: Cross multiply
    13,693.26x = 20,442.63 × 13,207.26
  4. Step 4: Simplify right side
    13,693.26x = 269,991,129.49
  5. Step 5: Solve for x
    x = 269,991,129.49/13,693.26
  6. Step 6: Final answer
    x = 19,717.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.