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Finding the Fourth Proportional to 12,351.78, 18,522.95 and 6,109.65

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Solution

The fourth proportional to 12,351.78, 18,522.95 and 6,109.65 is: 9,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.78 : 18,522.95 = 6,109.65 : x
  2. Step 2: Convert to fraction form
    12,351.78/18,522.95 = 6,109.65/x
  3. Step 3: Cross multiply
    12,351.78x = 18,522.95 × 6,109.65
  4. Step 4: Simplify right side
    12,351.78x = 113,168,710.92
  5. Step 5: Solve for x
    x = 113,168,710.92/12,351.78
  6. Step 6: Final answer
    x = 9,162.14

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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.