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Finding the Fourth Proportional to 18,124.72, 27,184 and 4,974

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Solution

The fourth proportional to 18,124.72, 27,184 and 4,974 is: 7,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.72 : 27,184 = 4,974 : x
  2. Step 2: Convert to fraction form
    18,124.72/27,184 = 4,974/x
  3. Step 3: Cross multiply
    18,124.72x = 27,184 × 4,974
  4. Step 4: Simplify right side
    18,124.72x = 135,213,216
  5. Step 5: Solve for x
    x = 135,213,216/18,124.72
  6. Step 6: Final answer
    x = 7,460.15

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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.