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Finding the Fourth Proportional to 40,291, 60,439.74 and 12,589

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Solution

The fourth proportional to 40,291, 60,439.74 and 12,589 is: 18,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 60,439.74 = 12,589 : x
  2. Step 2: Convert to fraction form
    40,291/60,439.74 = 12,589/x
  3. Step 3: Cross multiply
    40,291x = 60,439.74 × 12,589
  4. Step 4: Simplify right side
    40,291x = 760,875,886.86
  5. Step 5: Solve for x
    x = 760,875,886.86/40,291
  6. Step 6: Final answer
    x = 18,884.51

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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.