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Finding the Fourth Proportional to 3,010, 4,153.80 and 1,683.60

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Solution

The fourth proportional to 3,010, 4,153.80 and 1,683.60 is: 2,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010 : 4,153.80 = 1,683.60 : x
  2. Step 2: Convert to fraction form
    3,010/4,153.80 = 1,683.60/x
  3. Step 3: Cross multiply
    3,010x = 4,153.80 × 1,683.60
  4. Step 4: Simplify right side
    3,010x = 6,993,337.68
  5. Step 5: Solve for x
    x = 6,993,337.68/3,010
  6. Step 6: Final answer
    x = 2,323.37

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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.