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Finding the Fourth Proportional to 9,616.75, 14,431.20 and 7,429.75

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Solution

The fourth proportional to 9,616.75, 14,431.20 and 7,429.75 is: 11,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.75 : 14,431.20 = 7,429.75 : x
  2. Step 2: Convert to fraction form
    9,616.75/14,431.20 = 7,429.75/x
  3. Step 3: Cross multiply
    9,616.75x = 14,431.20 × 7,429.75
  4. Step 4: Simplify right side
    9,616.75x = 107,220,208.20
  5. Step 5: Solve for x
    x = 107,220,208.20/9,616.75
  6. Step 6: Final answer
    x = 11,149.32

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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.