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Finding the Fourth Proportional to 34,185, 51,301.80 and 13,408.50

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Solution

The fourth proportional to 34,185, 51,301.80 and 13,408.50 is: 20,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185 : 51,301.80 = 13,408.50 : x
  2. Step 2: Convert to fraction form
    34,185/51,301.80 = 13,408.50/x
  3. Step 3: Cross multiply
    34,185x = 51,301.80 × 13,408.50
  4. Step 4: Simplify right side
    34,185x = 687,880,185.30
  5. Step 5: Solve for x
    x = 687,880,185.30/34,185
  6. Step 6: Final answer
    x = 20,122.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.