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Finding the Fourth Proportional to 14,578.70, 20,115.14 and 8,294.54

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Solution

The fourth proportional to 14,578.70, 20,115.14 and 8,294.54 is: 11,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.70 : 20,115.14 = 8,294.54 : x
  2. Step 2: Convert to fraction form
    14,578.70/20,115.14 = 8,294.54/x
  3. Step 3: Cross multiply
    14,578.70x = 20,115.14 × 8,294.54
  4. Step 4: Simplify right side
    14,578.70x = 166,845,833.34
  5. Step 5: Solve for x
    x = 166,845,833.34/14,578.70
  6. Step 6: Final answer
    x = 11,444.49

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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.