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Finding the Fourth Proportional to 41,969, 62,953.50 and 12,785

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Solution

The fourth proportional to 41,969, 62,953.50 and 12,785 is: 19,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,969 : 62,953.50 = 12,785 : x
  2. Step 2: Convert to fraction form
    41,969/62,953.50 = 12,785/x
  3. Step 3: Cross multiply
    41,969x = 62,953.50 × 12,785
  4. Step 4: Simplify right side
    41,969x = 804,860,497.50
  5. Step 5: Solve for x
    x = 804,860,497.50/41,969
  6. Step 6: Final answer
    x = 19,177.50

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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.