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Finding the Fourth Proportional to 19,448.66, 29,170.56 and 5,409.74

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Solution

The fourth proportional to 19,448.66, 29,170.56 and 5,409.74 is: 8,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448.66 : 29,170.56 = 5,409.74 : x
  2. Step 2: Convert to fraction form
    19,448.66/29,170.56 = 5,409.74/x
  3. Step 3: Cross multiply
    19,448.66x = 29,170.56 × 5,409.74
  4. Step 4: Simplify right side
    19,448.66x = 157,805,145.25
  5. Step 5: Solve for x
    x = 157,805,145.25/19,448.66
  6. Step 6: Final answer
    x = 8,113.93

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