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Finding the Fourth Proportional to 19,773.78, 27,288.54 and 10,821.66

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Solution

The fourth proportional to 19,773.78, 27,288.54 and 10,821.66 is: 14,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.78 : 27,288.54 = 10,821.66 : x
  2. Step 2: Convert to fraction form
    19,773.78/27,288.54 = 10,821.66/x
  3. Step 3: Cross multiply
    19,773.78x = 27,288.54 × 10,821.66
  4. Step 4: Simplify right side
    19,773.78x = 295,307,301.78
  5. Step 5: Solve for x
    x = 295,307,301.78/19,773.78
  6. Step 6: Final answer
    x = 14,934.29

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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.