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Finding the Fourth Proportional to 30,596.94, 42,221.25 and 21,649.68

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Solution

The fourth proportional to 30,596.94, 42,221.25 and 21,649.68 is: 29,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.94 : 42,221.25 = 21,649.68 : x
  2. Step 2: Convert to fraction form
    30,596.94/42,221.25 = 21,649.68/x
  3. Step 3: Cross multiply
    30,596.94x = 42,221.25 × 21,649.68
  4. Step 4: Simplify right side
    30,596.94x = 914,076,551.70
  5. Step 5: Solve for x
    x = 914,076,551.70/30,596.94
  6. Step 6: Final answer
    x = 29,874.77

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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.