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Finding the Fourth Proportional to 9,863.36, 14,771.41 and 7,187.78

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Solution

The fourth proportional to 9,863.36, 14,771.41 and 7,187.78 is: 10,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.36 : 14,771.41 = 7,187.78 : x
  2. Step 2: Convert to fraction form
    9,863.36/14,771.41 = 7,187.78/x
  3. Step 3: Cross multiply
    9,863.36x = 14,771.41 × 7,187.78
  4. Step 4: Simplify right side
    9,863.36x = 106,173,663.22
  5. Step 5: Solve for x
    x = 106,173,663.22/9,863.36
  6. Step 6: Final answer
    x = 10,764.45

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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.