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Finding the Fourth Proportional to 14,543.40, 20,071.80 and 8,256

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Solution

The fourth proportional to 14,543.40, 20,071.80 and 8,256 is: 11,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.40 : 20,071.80 = 8,256 : x
  2. Step 2: Convert to fraction form
    14,543.40/20,071.80 = 8,256/x
  3. Step 3: Cross multiply
    14,543.40x = 20,071.80 × 8,256
  4. Step 4: Simplify right side
    14,543.40x = 165,712,780.80
  5. Step 5: Solve for x
    x = 165,712,780.80/14,543.40
  6. Step 6: Final answer
    x = 11,394.36

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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.