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Finding the Fourth Proportional to 2,323.70, 3,206.50 and 1,328.98

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Solution

The fourth proportional to 2,323.70, 3,206.50 and 1,328.98 is: 1,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.70 : 3,206.50 = 1,328.98 : x
  2. Step 2: Convert to fraction form
    2,323.70/3,206.50 = 1,328.98/x
  3. Step 3: Cross multiply
    2,323.70x = 3,206.50 × 1,328.98
  4. Step 4: Simplify right side
    2,323.70x = 4,261,374.37
  5. Step 5: Solve for x
    x = 4,261,374.37/2,323.70
  6. Step 6: Final answer
    x = 1,833.87

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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.