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Finding the Fourth Proportional to 10,289.20, 14,199 and 6,039.51

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Solution

The fourth proportional to 10,289.20, 14,199 and 6,039.51 is: 8,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.20 : 14,199 = 6,039.51 : x
  2. Step 2: Convert to fraction form
    10,289.20/14,199 = 6,039.51/x
  3. Step 3: Cross multiply
    10,289.20x = 14,199 × 6,039.51
  4. Step 4: Simplify right side
    10,289.20x = 85,755,002.49
  5. Step 5: Solve for x
    x = 85,755,002.49/10,289.20
  6. Step 6: Final answer
    x = 8,334.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.