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Finding the Fourth Proportional to 34,354, 47,408.53 and 19,450

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Solution

The fourth proportional to 34,354, 47,408.53 and 19,450 is: 26,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354 : 47,408.53 = 19,450 : x
  2. Step 2: Convert to fraction form
    34,354/47,408.53 = 19,450/x
  3. Step 3: Cross multiply
    34,354x = 47,408.53 × 19,450
  4. Step 4: Simplify right side
    34,354x = 922,095,811.25
  5. Step 5: Solve for x
    x = 922,095,811.25/34,354
  6. Step 6: Final answer
    x = 26,841.00

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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.