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Finding the Fourth Proportional to 22,930, 31,643.40 and 13,504.36

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Solution

The fourth proportional to 22,930, 31,643.40 and 13,504.36 is: 18,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930 : 31,643.40 = 13,504.36 : x
  2. Step 2: Convert to fraction form
    22,930/31,643.40 = 13,504.36/x
  3. Step 3: Cross multiply
    22,930x = 31,643.40 × 13,504.36
  4. Step 4: Simplify right side
    22,930x = 427,323,865.22
  5. Step 5: Solve for x
    x = 427,323,865.22/22,930
  6. Step 6: Final answer
    x = 18,636.02

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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.