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Finding the Fourth Proportional to 7,017.68, 9,684.60 and 3,874

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Solution

The fourth proportional to 7,017.68, 9,684.60 and 3,874 is: 5,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.68 : 9,684.60 = 3,874 : x
  2. Step 2: Convert to fraction form
    7,017.68/9,684.60 = 3,874/x
  3. Step 3: Cross multiply
    7,017.68x = 9,684.60 × 3,874
  4. Step 4: Simplify right side
    7,017.68x = 37,518,140.40
  5. Step 5: Solve for x
    x = 37,518,140.40/7,017.68
  6. Step 6: Final answer
    x = 5,346.23

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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.