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Finding the Fourth Proportional to 19,720, 27,213.60 and 10,888

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Solution

The fourth proportional to 19,720, 27,213.60 and 10,888 is: 15,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 27,213.60 = 10,888 : x
  2. Step 2: Convert to fraction form
    19,720/27,213.60 = 10,888/x
  3. Step 3: Cross multiply
    19,720x = 27,213.60 × 10,888
  4. Step 4: Simplify right side
    19,720x = 296,301,676.80
  5. Step 5: Solve for x
    x = 296,301,676.80/19,720
  6. Step 6: Final answer
    x = 15,025.44

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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.