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Finding the Fourth Proportional to 19,763.68, 27,276.28 and 11,380

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Solution

The fourth proportional to 19,763.68, 27,276.28 and 11,380 is: 15,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.68 : 27,276.28 = 11,380 : x
  2. Step 2: Convert to fraction form
    19,763.68/27,276.28 = 11,380/x
  3. Step 3: Cross multiply
    19,763.68x = 27,276.28 × 11,380
  4. Step 4: Simplify right side
    19,763.68x = 310,404,066.40
  5. Step 5: Solve for x
    x = 310,404,066.40/19,763.68
  6. Step 6: Final answer
    x = 15,705.78

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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.