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Finding the Fourth Proportional to 41,991.84, 57,948 and 23,128.80

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Solution

The fourth proportional to 41,991.84, 57,948 and 23,128.80 is: 31,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,991.84 : 57,948 = 23,128.80 : x
  2. Step 2: Convert to fraction form
    41,991.84/57,948 = 23,128.80/x
  3. Step 3: Cross multiply
    41,991.84x = 57,948 × 23,128.80
  4. Step 4: Simplify right side
    41,991.84x = 1,340,267,702.40
  5. Step 5: Solve for x
    x = 1,340,267,702.40/41,991.84
  6. Step 6: Final answer
    x = 31,917.34

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Double scale
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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.