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Finding the Fourth Proportional to 25,378.50, 35,021.45 and 14,048.49

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Solution

The fourth proportional to 25,378.50, 35,021.45 and 14,048.49 is: 19,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.50 : 35,021.45 = 14,048.49 : x
  2. Step 2: Convert to fraction form
    25,378.50/35,021.45 = 14,048.49/x
  3. Step 3: Cross multiply
    25,378.50x = 35,021.45 × 14,048.49
  4. Step 4: Simplify right side
    25,378.50x = 491,998,525.23
  5. Step 5: Solve for x
    x = 491,998,525.23/25,378.50
  6. Step 6: Final answer
    x = 19,386.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.