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Finding the Fourth Proportional to 22,971.49, 31,698.43 and 12,897.99

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Solution

The fourth proportional to 22,971.49, 31,698.43 and 12,897.99 is: 17,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.49 : 31,698.43 = 12,897.99 : x
  2. Step 2: Convert to fraction form
    22,971.49/31,698.43 = 12,897.99/x
  3. Step 3: Cross multiply
    22,971.49x = 31,698.43 × 12,897.99
  4. Step 4: Simplify right side
    22,971.49x = 408,846,000.91
  5. Step 5: Solve for x
    x = 408,846,000.91/22,971.49
  6. Step 6: Final answer
    x = 17,797.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.