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Finding the Fourth Proportional to 15,920.64, 23,899.41 and 8,539.52

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Solution

The fourth proportional to 15,920.64, 23,899.41 and 8,539.52 is: 12,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.64 : 23,899.41 = 8,539.52 : x
  2. Step 2: Convert to fraction form
    15,920.64/23,899.41 = 8,539.52/x
  3. Step 3: Cross multiply
    15,920.64x = 23,899.41 × 8,539.52
  4. Step 4: Simplify right side
    15,920.64x = 204,089,370.19
  5. Step 5: Solve for x
    x = 204,089,370.19/15,920.64
  6. Step 6: Final answer
    x = 12,819.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.