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Finding the Fourth Proportional to 22,768.80, 31,420.80 and 12,697.37

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Solution

The fourth proportional to 22,768.80, 31,420.80 and 12,697.37 is: 17,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.80 : 31,420.80 = 12,697.37 : x
  2. Step 2: Convert to fraction form
    22,768.80/31,420.80 = 12,697.37/x
  3. Step 3: Cross multiply
    22,768.80x = 31,420.80 × 12,697.37
  4. Step 4: Simplify right side
    22,768.80x = 398,961,366.19
  5. Step 5: Solve for x
    x = 398,961,366.19/22,768.80
  6. Step 6: Final answer
    x = 17,522.28

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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.