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Finding the Fourth Proportional to 9,966.36, 14,956.45 and 6,447.61

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Solution

The fourth proportional to 9,966.36, 14,956.45 and 6,447.61 is: 9,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.36 : 14,956.45 = 6,447.61 : x
  2. Step 2: Convert to fraction form
    9,966.36/14,956.45 = 6,447.61/x
  3. Step 3: Cross multiply
    9,966.36x = 14,956.45 × 6,447.61
  4. Step 4: Simplify right side
    9,966.36x = 96,433,249.56
  5. Step 5: Solve for x
    x = 96,433,249.56/9,966.36
  6. Step 6: Final answer
    x = 9,675.87

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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.