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Finding the Fourth Proportional to 25,143.86, 34,699.74 and 13,813.22

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Solution

The fourth proportional to 25,143.86, 34,699.74 and 13,813.22 is: 19,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.86 : 34,699.74 = 13,813.22 : x
  2. Step 2: Convert to fraction form
    25,143.86/34,699.74 = 13,813.22/x
  3. Step 3: Cross multiply
    25,143.86x = 34,699.74 × 13,813.22
  4. Step 4: Simplify right side
    25,143.86x = 479,314,969.06
  5. Step 5: Solve for x
    x = 479,314,969.06/25,143.86
  6. Step 6: Final answer
    x = 19,062.91

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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.