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Finding the Fourth Proportional to 30,797.40, 42,463.98 and 21,724.26

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Solution

The fourth proportional to 30,797.40, 42,463.98 and 21,724.26 is: 29,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.40 : 42,463.98 = 21,724.26 : x
  2. Step 2: Convert to fraction form
    30,797.40/42,463.98 = 21,724.26/x
  3. Step 3: Cross multiply
    30,797.40x = 42,463.98 × 21,724.26
  4. Step 4: Simplify right side
    30,797.40x = 922,498,542.15
  5. Step 5: Solve for x
    x = 922,498,542.15/30,797.40
  6. Step 6: Final answer
    x = 29,953.78

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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.