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Finding the Fourth Proportional to 22,849, 31,535.94 and 12,913

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Solution

The fourth proportional to 22,849, 31,535.94 and 12,913 is: 17,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849 : 31,535.94 = 12,913 : x
  2. Step 2: Convert to fraction form
    22,849/31,535.94 = 12,913/x
  3. Step 3: Cross multiply
    22,849x = 31,535.94 × 12,913
  4. Step 4: Simplify right side
    22,849x = 407,223,593.22
  5. Step 5: Solve for x
    x = 407,223,593.22/22,849
  6. Step 6: Final answer
    x = 17,822.38

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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.