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Finding the Fourth Proportional to 30,312.75, 41,825.25 and 17,565.21

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Solution

The fourth proportional to 30,312.75, 41,825.25 and 17,565.21 is: 24,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.75 : 41,825.25 = 17,565.21 : x
  2. Step 2: Convert to fraction form
    30,312.75/41,825.25 = 17,565.21/x
  3. Step 3: Cross multiply
    30,312.75x = 41,825.25 × 17,565.21
  4. Step 4: Simplify right side
    30,312.75x = 734,669,299.55
  5. Step 5: Solve for x
    x = 734,669,299.55/30,312.75
  6. Step 6: Final answer
    x = 24,236.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.