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Finding the Fourth Proportional to 25,678, 35,435.64 and 13,902

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Solution

The fourth proportional to 25,678, 35,435.64 and 13,902 is: 19,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678 : 35,435.64 = 13,902 : x
  2. Step 2: Convert to fraction form
    25,678/35,435.64 = 13,902/x
  3. Step 3: Cross multiply
    25,678x = 35,435.64 × 13,902
  4. Step 4: Simplify right side
    25,678x = 492,626,267.28
  5. Step 5: Solve for x
    x = 492,626,267.28/25,678
  6. Step 6: Final answer
    x = 19,184.76

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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.