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Finding the Fourth Proportional to 30,392.75, 41,964.21 and 19,643.98

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Solution

The fourth proportional to 30,392.75, 41,964.21 and 19,643.98 is: 27,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.75 : 41,964.21 = 19,643.98 : x
  2. Step 2: Convert to fraction form
    30,392.75/41,964.21 = 19,643.98/x
  3. Step 3: Cross multiply
    30,392.75x = 41,964.21 × 19,643.98
  4. Step 4: Simplify right side
    30,392.75x = 824,343,997.05
  5. Step 5: Solve for x
    x = 824,343,997.05/30,392.75
  6. Step 6: Final answer
    x = 27,123.05

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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.