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Finding the Fourth Proportional to 9,358.61, 13,952.78 and 8,306.80

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Solution

The fourth proportional to 9,358.61, 13,952.78 and 8,306.80 is: 12,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.61 : 13,952.78 = 8,306.80 : x
  2. Step 2: Convert to fraction form
    9,358.61/13,952.78 = 8,306.80/x
  3. Step 3: Cross multiply
    9,358.61x = 13,952.78 × 8,306.80
  4. Step 4: Simplify right side
    9,358.61x = 115,902,911.37
  5. Step 5: Solve for x
    x = 115,902,911.37/9,358.61
  6. Step 6: Final answer
    x = 12,384.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.