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Finding the Fourth Proportional to 23,110.70, 31,892.70 and 13,039.10

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Solution

The fourth proportional to 23,110.70, 31,892.70 and 13,039.10 is: 17,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.70 : 31,892.70 = 13,039.10 : x
  2. Step 2: Convert to fraction form
    23,110.70/31,892.70 = 13,039.10/x
  3. Step 3: Cross multiply
    23,110.70x = 31,892.70 × 13,039.10
  4. Step 4: Simplify right side
    23,110.70x = 415,852,104.57
  5. Step 5: Solve for x
    x = 415,852,104.57/23,110.70
  6. Step 6: Final answer
    x = 17,993.92

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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.