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Finding the Fourth Proportional to 8,665.20, 12,999.90 and 2,509.20

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Solution

The fourth proportional to 8,665.20, 12,999.90 and 2,509.20 is: 3,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.20 : 12,999.90 = 2,509.20 : x
  2. Step 2: Convert to fraction form
    8,665.20/12,999.90 = 2,509.20/x
  3. Step 3: Cross multiply
    8,665.20x = 12,999.90 × 2,509.20
  4. Step 4: Simplify right side
    8,665.20x = 32,619,349.08
  5. Step 5: Solve for x
    x = 32,619,349.08/8,665.20
  6. Step 6: Final answer
    x = 3,764.41

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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.