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Finding the Fourth Proportional to 9,956.40, 13,718.74 and 8,235.56

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Solution

The fourth proportional to 9,956.40, 13,718.74 and 8,235.56 is: 11,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.40 : 13,718.74 = 8,235.56 : x
  2. Step 2: Convert to fraction form
    9,956.40/13,718.74 = 8,235.56/x
  3. Step 3: Cross multiply
    9,956.40x = 13,718.74 × 8,235.56
  4. Step 4: Simplify right side
    9,956.40x = 112,981,506.39
  5. Step 5: Solve for x
    x = 112,981,506.39/9,956.40
  6. Step 6: Final answer
    x = 11,347.63

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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.