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Finding the Fourth Proportional to 3,009.86, 4,153.86 and 1,683.53

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Solution

The fourth proportional to 3,009.86, 4,153.86 and 1,683.53 is: 2,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.86 : 4,153.86 = 1,683.53 : x
  2. Step 2: Convert to fraction form
    3,009.86/4,153.86 = 1,683.53/x
  3. Step 3: Cross multiply
    3,009.86x = 4,153.86 × 1,683.53
  4. Step 4: Simplify right side
    3,009.86x = 6,993,161.36
  5. Step 5: Solve for x
    x = 6,993,161.36/3,009.86
  6. Step 6: Final answer
    x = 2,323.42

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1.5x scale

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.