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Finding the Fourth Proportional to 25,056, 34,578.36 and 13,878

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Solution

The fourth proportional to 25,056, 34,578.36 and 13,878 is: 19,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,056 : 34,578.36 = 13,878 : x
  2. Step 2: Convert to fraction form
    25,056/34,578.36 = 13,878/x
  3. Step 3: Cross multiply
    25,056x = 34,578.36 × 13,878
  4. Step 4: Simplify right side
    25,056x = 479,878,480.08
  5. Step 5: Solve for x
    x = 479,878,480.08/25,056
  6. Step 6: Final answer
    x = 19,152.24

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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.