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Finding the Fourth Proportional to 9,979.16, 14,978 and 5,052.28

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Solution

The fourth proportional to 9,979.16, 14,978 and 5,052.28 is: 7,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.16 : 14,978 = 5,052.28 : x
  2. Step 2: Convert to fraction form
    9,979.16/14,978 = 5,052.28/x
  3. Step 3: Cross multiply
    9,979.16x = 14,978 × 5,052.28
  4. Step 4: Simplify right side
    9,979.16x = 75,673,049.84
  5. Step 5: Solve for x
    x = 75,673,049.84/9,979.16
  6. Step 6: Final answer
    x = 7,583.11

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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.