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Finding the Fourth Proportional to 31,239, 46,858.56 and 12,771

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Solution

The fourth proportional to 31,239, 46,858.56 and 12,771 is: 19,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239 : 46,858.56 = 12,771 : x
  2. Step 2: Convert to fraction form
    31,239/46,858.56 = 12,771/x
  3. Step 3: Cross multiply
    31,239x = 46,858.56 × 12,771
  4. Step 4: Simplify right side
    31,239x = 598,430,669.76
  5. Step 5: Solve for x
    x = 598,430,669.76/31,239
  6. Step 6: Final answer
    x = 19,156.52

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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.