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Finding the Fourth Proportional to 36,955, 55,432.98 and 12,331

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Solution

The fourth proportional to 36,955, 55,432.98 and 12,331 is: 18,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,955 : 55,432.98 = 12,331 : x
  2. Step 2: Convert to fraction form
    36,955/55,432.98 = 12,331/x
  3. Step 3: Cross multiply
    36,955x = 55,432.98 × 12,331
  4. Step 4: Simplify right side
    36,955x = 683,544,076.38
  5. Step 5: Solve for x
    x = 683,544,076.38/36,955
  6. Step 6: Final answer
    x = 18,496.66

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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.