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Finding the Fourth Proportional to 12,377.78, 17,081.09 and 7,000.12

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Solution

The fourth proportional to 12,377.78, 17,081.09 and 7,000.12 is: 9,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.78 : 17,081.09 = 7,000.12 : x
  2. Step 2: Convert to fraction form
    12,377.78/17,081.09 = 7,000.12/x
  3. Step 3: Cross multiply
    12,377.78x = 17,081.09 × 7,000.12
  4. Step 4: Simplify right side
    12,377.78x = 119,569,594.33
  5. Step 5: Solve for x
    x = 119,569,594.33/12,377.78
  6. Step 6: Final answer
    x = 9,660.02

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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.