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Finding the Fourth Proportional to 20,394.94, 28,146.28 and 11,443

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Solution

The fourth proportional to 20,394.94, 28,146.28 and 11,443 is: 15,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394.94 : 28,146.28 = 11,443 : x
  2. Step 2: Convert to fraction form
    20,394.94/28,146.28 = 11,443/x
  3. Step 3: Cross multiply
    20,394.94x = 28,146.28 × 11,443
  4. Step 4: Simplify right side
    20,394.94x = 322,077,882.04
  5. Step 5: Solve for x
    x = 322,077,882.04/20,394.94
  6. Step 6: Final answer
    x = 15,792.05

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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.