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Finding the Fourth Proportional to 12,522.98, 18,785.04 and 6,972.14

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Solution

The fourth proportional to 12,522.98, 18,785.04 and 6,972.14 is: 10,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.98 : 18,785.04 = 6,972.14 : x
  2. Step 2: Convert to fraction form
    12,522.98/18,785.04 = 6,972.14/x
  3. Step 3: Cross multiply
    12,522.98x = 18,785.04 × 6,972.14
  4. Step 4: Simplify right side
    12,522.98x = 130,971,843.94
  5. Step 5: Solve for x
    x = 130,971,843.94/12,522.98
  6. Step 6: Final answer
    x = 10,458.52

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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.