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Finding the Fourth Proportional to 31,699, 47,554.98 and 13,231

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Solution

The fourth proportional to 31,699, 47,554.98 and 13,231 is: 19,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699 : 47,554.98 = 13,231 : x
  2. Step 2: Convert to fraction form
    31,699/47,554.98 = 13,231/x
  3. Step 3: Cross multiply
    31,699x = 47,554.98 × 13,231
  4. Step 4: Simplify right side
    31,699x = 629,199,940.38
  5. Step 5: Solve for x
    x = 629,199,940.38/31,699
  6. Step 6: Final answer
    x = 19,849.20

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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.