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Finding the Fourth Proportional to 20,172.81, 27,837.81 and 11,220.06

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Solution

The fourth proportional to 20,172.81, 27,837.81 and 11,220.06 is: 15,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.81 : 27,837.81 = 11,220.06 : x
  2. Step 2: Convert to fraction form
    20,172.81/27,837.81 = 11,220.06/x
  3. Step 3: Cross multiply
    20,172.81x = 27,837.81 × 11,220.06
  4. Step 4: Simplify right side
    20,172.81x = 312,341,898.47
  5. Step 5: Solve for x
    x = 312,341,898.47/20,172.81
  6. Step 6: Final answer
    x = 15,483.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.