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Finding the Fourth Proportional to 30,897.56, 42,625.04 and 20,822.33

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Solution

The fourth proportional to 30,897.56, 42,625.04 and 20,822.33 is: 28,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.56 : 42,625.04 = 20,822.33 : x
  2. Step 2: Convert to fraction form
    30,897.56/42,625.04 = 20,822.33/x
  3. Step 3: Cross multiply
    30,897.56x = 42,625.04 × 20,822.33
  4. Step 4: Simplify right side
    30,897.56x = 887,552,331.91
  5. Step 5: Solve for x
    x = 887,552,331.91/30,897.56
  6. Step 6: Final answer
    x = 28,725.65

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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.