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Finding the Fourth Proportional to 40,024, 60,036.81 and 12,322

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Solution

The fourth proportional to 40,024, 60,036.81 and 12,322 is: 18,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,024 : 60,036.81 = 12,322 : x
  2. Step 2: Convert to fraction form
    40,024/60,036.81 = 12,322/x
  3. Step 3: Cross multiply
    40,024x = 60,036.81 × 12,322
  4. Step 4: Simplify right side
    40,024x = 739,773,572.82
  5. Step 5: Solve for x
    x = 739,773,572.82/40,024
  6. Step 6: Final answer
    x = 18,483.25

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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.