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Finding the Fourth Proportional to 9,661.67, 13,332.30 and 8,956.43

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Solution

The fourth proportional to 9,661.67, 13,332.30 and 8,956.43 is: 12,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.67 : 13,332.30 = 8,956.43 : x
  2. Step 2: Convert to fraction form
    9,661.67/13,332.30 = 8,956.43/x
  3. Step 3: Cross multiply
    9,661.67x = 13,332.30 × 8,956.43
  4. Step 4: Simplify right side
    9,661.67x = 119,409,811.69
  5. Step 5: Solve for x
    x = 119,409,811.69/9,661.67
  6. Step 6: Final answer
    x = 12,359.13

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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.