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Finding the Fourth Proportional to 14,856.80, 20,502 and 8,142.56

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Solution

The fourth proportional to 14,856.80, 20,502 and 8,142.56 is: 11,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.80 : 20,502 = 8,142.56 : x
  2. Step 2: Convert to fraction form
    14,856.80/20,502 = 8,142.56/x
  3. Step 3: Cross multiply
    14,856.80x = 20,502 × 8,142.56
  4. Step 4: Simplify right side
    14,856.80x = 166,938,765.12
  5. Step 5: Solve for x
    x = 166,938,765.12/14,856.80
  6. Step 6: Final answer
    x = 11,236.52

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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.