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Finding the Fourth Proportional to 19,905.22, 29,859.76 and 7,422.30

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Solution

The fourth proportional to 19,905.22, 29,859.76 and 7,422.30 is: 11,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,905.22 : 29,859.76 = 7,422.30 : x
  2. Step 2: Convert to fraction form
    19,905.22/29,859.76 = 7,422.30/x
  3. Step 3: Cross multiply
    19,905.22x = 29,859.76 × 7,422.30
  4. Step 4: Simplify right side
    19,905.22x = 221,628,096.65
  5. Step 5: Solve for x
    x = 221,628,096.65/19,905.22
  6. Step 6: Final answer
    x = 11,134.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.