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Finding the Fourth Proportional to 9,867.36, 14,771.48 and 7,272.12

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Solution

The fourth proportional to 9,867.36, 14,771.48 and 7,272.12 is: 10,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.36 : 14,771.48 = 7,272.12 : x
  2. Step 2: Convert to fraction form
    9,867.36/14,771.48 = 7,272.12/x
  3. Step 3: Cross multiply
    9,867.36x = 14,771.48 × 7,272.12
  4. Step 4: Simplify right side
    9,867.36x = 107,419,938.78
  5. Step 5: Solve for x
    x = 107,419,938.78/9,867.36
  6. Step 6: Final answer
    x = 10,886.39

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1.5x scale

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.