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Finding the Fourth Proportional to 25,620, 35,355.60 and 13,844

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Solution

The fourth proportional to 25,620, 35,355.60 and 13,844 is: 19,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 35,355.60 = 13,844 : x
  2. Step 2: Convert to fraction form
    25,620/35,355.60 = 13,844/x
  3. Step 3: Cross multiply
    25,620x = 35,355.60 × 13,844
  4. Step 4: Simplify right side
    25,620x = 489,462,926.40
  5. Step 5: Solve for x
    x = 489,462,926.40/25,620
  6. Step 6: Final answer
    x = 19,104.72

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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.