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Finding the Fourth Proportional to 3,409.50, 5,114.98 and 1,357.50

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Solution

The fourth proportional to 3,409.50, 5,114.98 and 1,357.50 is: 2,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.50 : 5,114.98 = 1,357.50 : x
  2. Step 2: Convert to fraction form
    3,409.50/5,114.98 = 1,357.50/x
  3. Step 3: Cross multiply
    3,409.50x = 5,114.98 × 1,357.50
  4. Step 4: Simplify right side
    3,409.50x = 6,943,585.35
  5. Step 5: Solve for x
    x = 6,943,585.35/3,409.50
  6. Step 6: Final answer
    x = 2,036.54

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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.