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Finding the Fourth Proportional to 6,296.40, 8,689.68 and 3,643.68

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Solution

The fourth proportional to 6,296.40, 8,689.68 and 3,643.68 is: 5,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.40 : 8,689.68 = 3,643.68 : x
  2. Step 2: Convert to fraction form
    6,296.40/8,689.68 = 3,643.68/x
  3. Step 3: Cross multiply
    6,296.40x = 8,689.68 × 3,643.68
  4. Step 4: Simplify right side
    6,296.40x = 31,662,413.22
  5. Step 5: Solve for x
    x = 31,662,413.22/6,296.40
  6. Step 6: Final answer
    x = 5,028.65

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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.