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Finding the Fourth Proportional to 9,981.16, 14,981 and 5,054.28

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Solution

The fourth proportional to 9,981.16, 14,981 and 5,054.28 is: 7,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.16 : 14,981 = 5,054.28 : x
  2. Step 2: Convert to fraction form
    9,981.16/14,981 = 5,054.28/x
  3. Step 3: Cross multiply
    9,981.16x = 14,981 × 5,054.28
  4. Step 4: Simplify right side
    9,981.16x = 75,718,168.68
  5. Step 5: Solve for x
    x = 75,718,168.68/9,981.16
  6. Step 6: Final answer
    x = 7,586.11

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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.