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Finding the Fourth Proportional to 9,939.75, 13,717.74 and 5,464.38

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Solution

The fourth proportional to 9,939.75, 13,717.74 and 5,464.38 is: 7,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.75 : 13,717.74 = 5,464.38 : x
  2. Step 2: Convert to fraction form
    9,939.75/13,717.74 = 5,464.38/x
  3. Step 3: Cross multiply
    9,939.75x = 13,717.74 × 5,464.38
  4. Step 4: Simplify right side
    9,939.75x = 74,958,908.13
  5. Step 5: Solve for x
    x = 74,958,908.13/9,939.75
  6. Step 6: Final answer
    x = 7,541.32

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1.5x scale

Why These Related Problems?

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