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Finding the Fourth Proportional to 20,274.47, 27,978.65 and 11,321.91

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Solution

The fourth proportional to 20,274.47, 27,978.65 and 11,321.91 is: 15,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.47 : 27,978.65 = 11,321.91 : x
  2. Step 2: Convert to fraction form
    20,274.47/27,978.65 = 11,321.91/x
  3. Step 3: Cross multiply
    20,274.47x = 27,978.65 × 11,321.91
  4. Step 4: Simplify right side
    20,274.47x = 316,771,743.07
  5. Step 5: Solve for x
    x = 316,771,743.07/20,274.47
  6. Step 6: Final answer
    x = 15,624.17

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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.