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Finding the Fourth Proportional to 25,729, 35,506.02 and 13,953

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Solution

The fourth proportional to 25,729, 35,506.02 and 13,953 is: 19,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729 : 35,506.02 = 13,953 : x
  2. Step 2: Convert to fraction form
    25,729/35,506.02 = 13,953/x
  3. Step 3: Cross multiply
    25,729x = 35,506.02 × 13,953
  4. Step 4: Simplify right side
    25,729x = 495,415,497.06
  5. Step 5: Solve for x
    x = 495,415,497.06/25,729
  6. Step 6: Final answer
    x = 19,255.14

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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.