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Finding the Fourth Proportional to 9,306.51, 12,828.05 and 7,286.52

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Solution

The fourth proportional to 9,306.51, 12,828.05 and 7,286.52 is: 10,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.51 : 12,828.05 = 7,286.52 : x
  2. Step 2: Convert to fraction form
    9,306.51/12,828.05 = 7,286.52/x
  3. Step 3: Cross multiply
    9,306.51x = 12,828.05 × 7,286.52
  4. Step 4: Simplify right side
    9,306.51x = 93,471,861.10
  5. Step 5: Solve for x
    x = 93,471,861.10/9,306.51
  6. Step 6: Final answer
    x = 10,043.71

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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.