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Finding the Fourth Proportional to 19,780, 27,296.40 and 10,948

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Solution

The fourth proportional to 19,780, 27,296.40 and 10,948 is: 15,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780 : 27,296.40 = 10,948 : x
  2. Step 2: Convert to fraction form
    19,780/27,296.40 = 10,948/x
  3. Step 3: Cross multiply
    19,780x = 27,296.40 × 10,948
  4. Step 4: Simplify right side
    19,780x = 298,840,987.20
  5. Step 5: Solve for x
    x = 298,840,987.20/19,780
  6. Step 6: Final answer
    x = 15,108.24

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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.