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Finding the Fourth Proportional to 9,742.28, 14,620.64 and 7,249.16

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Solution

The fourth proportional to 9,742.28, 14,620.64 and 7,249.16 is: 10,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.28 : 14,620.64 = 7,249.16 : x
  2. Step 2: Convert to fraction form
    9,742.28/14,620.64 = 7,249.16/x
  3. Step 3: Cross multiply
    9,742.28x = 14,620.64 × 7,249.16
  4. Step 4: Simplify right side
    9,742.28x = 105,987,358.66
  5. Step 5: Solve for x
    x = 105,987,358.66/9,742.28
  6. Step 6: Final answer
    x = 10,879.11

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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.