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Finding the Fourth Proportional to 25,172.66, 34,738.40 and 13,842.88

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Solution

The fourth proportional to 25,172.66, 34,738.40 and 13,842.88 is: 19,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172.66 : 34,738.40 = 13,842.88 : x
  2. Step 2: Convert to fraction form
    25,172.66/34,738.40 = 13,842.88/x
  3. Step 3: Cross multiply
    25,172.66x = 34,738.40 × 13,842.88
  4. Step 4: Simplify right side
    25,172.66x = 480,879,502.59
  5. Step 5: Solve for x
    x = 480,879,502.59/25,172.66
  6. Step 6: Final answer
    x = 19,103.25

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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.