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Finding the Fourth Proportional to 22,768.80, 31,402.80 and 16,839.60

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Solution

The fourth proportional to 22,768.80, 31,402.80 and 16,839.60 is: 23,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.80 : 31,402.80 = 16,839.60 : x
  2. Step 2: Convert to fraction form
    22,768.80/31,402.80 = 16,839.60/x
  3. Step 3: Cross multiply
    22,768.80x = 31,402.80 × 16,839.60
  4. Step 4: Simplify right side
    22,768.80x = 528,810,590.88
  5. Step 5: Solve for x
    x = 528,810,590.88/22,768.80
  6. Step 6: Final answer
    x = 23,225.23

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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.