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Finding the Fourth Proportional to 37,146, 55,727.64 and 12,522

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Solution

The fourth proportional to 37,146, 55,727.64 and 12,522 is: 18,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,146 : 55,727.64 = 12,522 : x
  2. Step 2: Convert to fraction form
    37,146/55,727.64 = 12,522/x
  3. Step 3: Cross multiply
    37,146x = 55,727.64 × 12,522
  4. Step 4: Simplify right side
    37,146x = 697,821,508.08
  5. Step 5: Solve for x
    x = 697,821,508.08/37,146
  6. Step 6: Final answer
    x = 18,785.91

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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.