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Finding the Fourth Proportional to 14,665.60, 20,239.68 and 8,380

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Solution

The fourth proportional to 14,665.60, 20,239.68 and 8,380 is: 11,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.60 : 20,239.68 = 8,380 : x
  2. Step 2: Convert to fraction form
    14,665.60/20,239.68 = 8,380/x
  3. Step 3: Cross multiply
    14,665.60x = 20,239.68 × 8,380
  4. Step 4: Simplify right side
    14,665.60x = 169,608,518.40
  5. Step 5: Solve for x
    x = 169,608,518.40/14,665.60
  6. Step 6: Final answer
    x = 11,565.06

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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.