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Finding the Fourth Proportional to 19,772.52, 27,286.80 and 10,820.40

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Solution

The fourth proportional to 19,772.52, 27,286.80 and 10,820.40 is: 14,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.52 : 27,286.80 = 10,820.40 : x
  2. Step 2: Convert to fraction form
    19,772.52/27,286.80 = 10,820.40/x
  3. Step 3: Cross multiply
    19,772.52x = 27,286.80 × 10,820.40
  4. Step 4: Simplify right side
    19,772.52x = 295,254,090.72
  5. Step 5: Solve for x
    x = 295,254,090.72/19,772.52
  6. Step 6: Final answer
    x = 14,932.55

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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.