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Finding the Fourth Proportional to 30,391.59, 41,957.96 and 23,164.77

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Solution

The fourth proportional to 30,391.59, 41,957.96 and 23,164.77 is: 31,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.59 : 41,957.96 = 23,164.77 : x
  2. Step 2: Convert to fraction form
    30,391.59/41,957.96 = 23,164.77/x
  3. Step 3: Cross multiply
    30,391.59x = 41,957.96 × 23,164.77
  4. Step 4: Simplify right side
    30,391.59x = 971,946,377.25
  5. Step 5: Solve for x
    x = 971,946,377.25/30,391.59
  6. Step 6: Final answer
    x = 31,980.77

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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.