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Finding the Fourth Proportional to 31,242, 46,869.48 and 12,774

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Solution

The fourth proportional to 31,242, 46,869.48 and 12,774 is: 19,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242 : 46,869.48 = 12,774 : x
  2. Step 2: Convert to fraction form
    31,242/46,869.48 = 12,774/x
  3. Step 3: Cross multiply
    31,242x = 46,869.48 × 12,774
  4. Step 4: Simplify right side
    31,242x = 598,710,737.52
  5. Step 5: Solve for x
    x = 598,710,737.52/31,242
  6. Step 6: Final answer
    x = 19,163.65

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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.