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Finding the Fourth Proportional to 12,503.76, 17,250 and 8,026.56

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Solution

The fourth proportional to 12,503.76, 17,250 and 8,026.56 is: 11,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.76 : 17,250 = 8,026.56 : x
  2. Step 2: Convert to fraction form
    12,503.76/17,250 = 8,026.56/x
  3. Step 3: Cross multiply
    12,503.76x = 17,250 × 8,026.56
  4. Step 4: Simplify right side
    12,503.76x = 138,458,160
  5. Step 5: Solve for x
    x = 138,458,160/12,503.76
  6. Step 6: Final answer
    x = 11,073.32

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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.