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Finding the Fourth Proportional to 14,854.54, 20,499.24 and 8,140

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Solution

The fourth proportional to 14,854.54, 20,499.24 and 8,140 is: 11,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.54 : 20,499.24 = 8,140 : x
  2. Step 2: Convert to fraction form
    14,854.54/20,499.24 = 8,140/x
  3. Step 3: Cross multiply
    14,854.54x = 20,499.24 × 8,140
  4. Step 4: Simplify right side
    14,854.54x = 166,863,813.60
  5. Step 5: Solve for x
    x = 166,863,813.60/14,854.54
  6. Step 6: Final answer
    x = 11,233.19

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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.