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Finding the Fourth Proportional to 9,843.76, 13,578.48 and 7,187.92

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Solution

The fourth proportional to 9,843.76, 13,578.48 and 7,187.92 is: 9,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.76 : 13,578.48 = 7,187.92 : x
  2. Step 2: Convert to fraction form
    9,843.76/13,578.48 = 7,187.92/x
  3. Step 3: Cross multiply
    9,843.76x = 13,578.48 × 7,187.92
  4. Step 4: Simplify right side
    9,843.76x = 97,601,027.96
  5. Step 5: Solve for x
    x = 97,601,027.96/9,843.76
  6. Step 6: Final answer
    x = 9,915.01

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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.