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Finding the Fourth Proportional to 9,981.88, 14,954.36 and 5,039.72

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Solution

The fourth proportional to 9,981.88, 14,954.36 and 5,039.72 is: 7,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.88 : 14,954.36 = 5,039.72 : x
  2. Step 2: Convert to fraction form
    9,981.88/14,954.36 = 5,039.72/x
  3. Step 3: Cross multiply
    9,981.88x = 14,954.36 × 5,039.72
  4. Step 4: Simplify right side
    9,981.88x = 75,365,712.41
  5. Step 5: Solve for x
    x = 75,365,712.41/9,981.88
  6. Step 6: Final answer
    x = 7,550.26

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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.