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Finding the Fourth Proportional to 25,383, 35,023.68 and 16,429.26

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Solution

The fourth proportional to 25,383, 35,023.68 and 16,429.26 is: 22,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,383 : 35,023.68 = 16,429.26 : x
  2. Step 2: Convert to fraction form
    25,383/35,023.68 = 16,429.26/x
  3. Step 3: Cross multiply
    25,383x = 35,023.68 × 16,429.26
  4. Step 4: Simplify right side
    25,383x = 575,413,144.88
  5. Step 5: Solve for x
    x = 575,413,144.88/25,383
  6. Step 6: Final answer
    x = 22,669.23

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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.