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Finding the Fourth Proportional to 13,898.36, 20,837.82 and 6,969.08

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Solution

The fourth proportional to 13,898.36, 20,837.82 and 6,969.08 is: 10,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.36 : 20,837.82 = 6,969.08 : x
  2. Step 2: Convert to fraction form
    13,898.36/20,837.82 = 6,969.08/x
  3. Step 3: Cross multiply
    13,898.36x = 20,837.82 × 6,969.08
  4. Step 4: Simplify right side
    13,898.36x = 145,220,434.61
  5. Step 5: Solve for x
    x = 145,220,434.61/13,898.36
  6. Step 6: Final answer
    x = 10,448.75

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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.