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Finding the Fourth Proportional to 25,618, 35,352.84 and 13,842

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Solution

The fourth proportional to 25,618, 35,352.84 and 13,842 is: 19,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,618 : 35,352.84 = 13,842 : x
  2. Step 2: Convert to fraction form
    25,618/35,352.84 = 13,842/x
  3. Step 3: Cross multiply
    25,618x = 35,352.84 × 13,842
  4. Step 4: Simplify right side
    25,618x = 489,354,011.28
  5. Step 5: Solve for x
    x = 489,354,011.28/25,618
  6. Step 6: Final answer
    x = 19,101.96

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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.