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Finding the Fourth Proportional to 19,773.30, 27,286.48 and 10,820.20

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Solution

The fourth proportional to 19,773.30, 27,286.48 and 10,820.20 is: 14,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.30 : 27,286.48 = 10,820.20 : x
  2. Step 2: Convert to fraction form
    19,773.30/27,286.48 = 10,820.20/x
  3. Step 3: Cross multiply
    19,773.30x = 27,286.48 × 10,820.20
  4. Step 4: Simplify right side
    19,773.30x = 295,245,034.46
  5. Step 5: Solve for x
    x = 295,245,034.46/19,773.30
  6. Step 6: Final answer
    x = 14,931.50

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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.