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Finding the Fourth Proportional to 34,183, 51,298.80 and 13,406.50

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Solution

The fourth proportional to 34,183, 51,298.80 and 13,406.50 is: 20,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,183 : 51,298.80 = 13,406.50 : x
  2. Step 2: Convert to fraction form
    34,183/51,298.80 = 13,406.50/x
  3. Step 3: Cross multiply
    34,183x = 51,298.80 × 13,406.50
  4. Step 4: Simplify right side
    34,183x = 687,737,362.20
  5. Step 5: Solve for x
    x = 687,737,362.20/34,183
  6. Step 6: Final answer
    x = 20,119.28

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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.