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Finding the Fourth Proportional to 6,970, 9,618.60 and 3,826.18

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Solution

The fourth proportional to 6,970, 9,618.60 and 3,826.18 is: 5,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970 : 9,618.60 = 3,826.18 : x
  2. Step 2: Convert to fraction form
    6,970/9,618.60 = 3,826.18/x
  3. Step 3: Cross multiply
    6,970x = 9,618.60 × 3,826.18
  4. Step 4: Simplify right side
    6,970x = 36,802,494.95
  5. Step 5: Solve for x
    x = 36,802,494.95/6,970
  6. Step 6: Final answer
    x = 5,280.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.