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Finding the Fourth Proportional to 29,870.88, 41,220 and 17,293.20

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Solution

The fourth proportional to 29,870.88, 41,220 and 17,293.20 is: 23,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.88 : 41,220 = 17,293.20 : x
  2. Step 2: Convert to fraction form
    29,870.88/41,220 = 17,293.20/x
  3. Step 3: Cross multiply
    29,870.88x = 41,220 × 17,293.20
  4. Step 4: Simplify right side
    29,870.88x = 712,825,704
  5. Step 5: Solve for x
    x = 712,825,704/29,870.88
  6. Step 6: Final answer
    x = 23,863.57

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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.