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Finding the Fourth Proportional to 10,616.56, 15,906.09 and 6,448.06

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Solution

The fourth proportional to 10,616.56, 15,906.09 and 6,448.06 is: 9,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.56 : 15,906.09 = 6,448.06 : x
  2. Step 2: Convert to fraction form
    10,616.56/15,906.09 = 6,448.06/x
  3. Step 3: Cross multiply
    10,616.56x = 15,906.09 × 6,448.06
  4. Step 4: Simplify right side
    10,616.56x = 102,563,422.69
  5. Step 5: Solve for x
    x = 102,563,422.69/10,616.56
  6. Step 6: Final answer
    x = 9,660.70

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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.