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Finding the Fourth Proportional to 30,291, 41,801.13 and 16,862.23

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Solution

The fourth proportional to 30,291, 41,801.13 and 16,862.23 is: 23,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291 : 41,801.13 = 16,862.23 : x
  2. Step 2: Convert to fraction form
    30,291/41,801.13 = 16,862.23/x
  3. Step 3: Cross multiply
    30,291x = 41,801.13 × 16,862.23
  4. Step 4: Simplify right side
    30,291x = 704,860,268.32
  5. Step 5: Solve for x
    x = 704,860,268.32/30,291
  6. Step 6: Final answer
    x = 23,269.63

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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.