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Finding the Fourth Proportional to 6,968, 9,615.86 and 3,824.18

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Solution

The fourth proportional to 6,968, 9,615.86 and 3,824.18 is: 5,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 9,615.86 = 3,824.18 : x
  2. Step 2: Convert to fraction form
    6,968/9,615.86 = 3,824.18/x
  3. Step 3: Cross multiply
    6,968x = 9,615.86 × 3,824.18
  4. Step 4: Simplify right side
    6,968x = 36,772,760.37
  5. Step 5: Solve for x
    x = 36,772,760.37/6,968
  6. Step 6: Final answer
    x = 5,277.38

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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.