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Finding the Fourth Proportional to 15,142.26, 20,896 and 8,427.74

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Solution

The fourth proportional to 15,142.26, 20,896 and 8,427.74 is: 11,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.26 : 20,896 = 8,427.74 : x
  2. Step 2: Convert to fraction form
    15,142.26/20,896 = 8,427.74/x
  3. Step 3: Cross multiply
    15,142.26x = 20,896 × 8,427.74
  4. Step 4: Simplify right side
    15,142.26x = 176,106,055.04
  5. Step 5: Solve for x
    x = 176,106,055.04/15,142.26
  6. Step 6: Final answer
    x = 11,630.10

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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.