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Finding the Fourth Proportional to 9,262.74, 13,894.04 and 7,872.78

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Solution

The fourth proportional to 9,262.74, 13,894.04 and 7,872.78 is: 11,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.74 : 13,894.04 = 7,872.78 : x
  2. Step 2: Convert to fraction form
    9,262.74/13,894.04 = 7,872.78/x
  3. Step 3: Cross multiply
    9,262.74x = 13,894.04 × 7,872.78
  4. Step 4: Simplify right side
    9,262.74x = 109,384,739.91
  5. Step 5: Solve for x
    x = 109,384,739.91/9,262.74
  6. Step 6: Final answer
    x = 11,809.11

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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.