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Finding the Fourth Proportional to 9,906.45, 13,646.12 and 7,544.49

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Solution

The fourth proportional to 9,906.45, 13,646.12 and 7,544.49 is: 10,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.45 : 13,646.12 = 7,544.49 : x
  2. Step 2: Convert to fraction form
    9,906.45/13,646.12 = 7,544.49/x
  3. Step 3: Cross multiply
    9,906.45x = 13,646.12 × 7,544.49
  4. Step 4: Simplify right side
    9,906.45x = 102,952,978.16
  5. Step 5: Solve for x
    x = 102,952,978.16/9,906.45
  6. Step 6: Final answer
    x = 10,392.52

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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.