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Finding the Fourth Proportional to 9,975.88, 13,771.38 and 5,783.32

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Solution

The fourth proportional to 9,975.88, 13,771.38 and 5,783.32 is: 7,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.88 : 13,771.38 = 5,783.32 : x
  2. Step 2: Convert to fraction form
    9,975.88/13,771.38 = 5,783.32/x
  3. Step 3: Cross multiply
    9,975.88x = 13,771.38 × 5,783.32
  4. Step 4: Simplify right side
    9,975.88x = 79,644,297.38
  5. Step 5: Solve for x
    x = 79,644,297.38/9,975.88
  6. Step 6: Final answer
    x = 7,983.69

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Double scale
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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.