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Finding the Fourth Proportional to 23,640, 32,623.06 and 12,884.86

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Solution

The fourth proportional to 23,640, 32,623.06 and 12,884.86 is: 17,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640 : 32,623.06 = 12,884.86 : x
  2. Step 2: Convert to fraction form
    23,640/32,623.06 = 12,884.86/x
  3. Step 3: Cross multiply
    23,640x = 32,623.06 × 12,884.86
  4. Step 4: Simplify right side
    23,640x = 420,343,560.87
  5. Step 5: Solve for x
    x = 420,343,560.87/23,640
  6. Step 6: Final answer
    x = 17,781.03

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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.