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Finding the Fourth Proportional to 25,330, 34,954.80 and 13,999.60

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Solution

The fourth proportional to 25,330, 34,954.80 and 13,999.60 is: 19,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,330 : 34,954.80 = 13,999.60 : x
  2. Step 2: Convert to fraction form
    25,330/34,954.80 = 13,999.60/x
  3. Step 3: Cross multiply
    25,330x = 34,954.80 × 13,999.60
  4. Step 4: Simplify right side
    25,330x = 489,353,218.08
  5. Step 5: Solve for x
    x = 489,353,218.08/25,330
  6. Step 6: Final answer
    x = 19,319.12

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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.