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Finding the Fourth Proportional to 22,971.92, 31,709.22 and 13,539.92

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Solution

The fourth proportional to 22,971.92, 31,709.22 and 13,539.92 is: 18,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.92 : 31,709.22 = 13,539.92 : x
  2. Step 2: Convert to fraction form
    22,971.92/31,709.22 = 13,539.92/x
  3. Step 3: Cross multiply
    22,971.92x = 31,709.22 × 13,539.92
  4. Step 4: Simplify right side
    22,971.92x = 429,340,302.06
  5. Step 5: Solve for x
    x = 429,340,302.06/22,971.92
  6. Step 6: Final answer
    x = 18,689.79

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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.