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Finding the Fourth Proportional to 28,141.90, 42,215.07 and 9,422.02

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Solution

The fourth proportional to 28,141.90, 42,215.07 and 9,422.02 is: 14,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,141.90 : 42,215.07 = 9,422.02 : x
  2. Step 2: Convert to fraction form
    28,141.90/42,215.07 = 9,422.02/x
  3. Step 3: Cross multiply
    28,141.90x = 42,215.07 × 9,422.02
  4. Step 4: Simplify right side
    28,141.90x = 397,751,242.79
  5. Step 5: Solve for x
    x = 397,751,242.79/28,141.90
  6. Step 6: Final answer
    x = 14,133.77

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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.