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Finding the Fourth Proportional to 14,764, 20,374.32 and 8,140

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Solution

The fourth proportional to 14,764, 20,374.32 and 8,140 is: 11,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764 : 20,374.32 = 8,140 : x
  2. Step 2: Convert to fraction form
    14,764/20,374.32 = 8,140/x
  3. Step 3: Cross multiply
    14,764x = 20,374.32 × 8,140
  4. Step 4: Simplify right side
    14,764x = 165,846,964.80
  5. Step 5: Solve for x
    x = 165,846,964.80/14,764
  6. Step 6: Final answer
    x = 11,233.20

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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.