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Finding the Fourth Proportional to 5,802.95, 8,005.16 and 3,912.14

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Solution

The fourth proportional to 5,802.95, 8,005.16 and 3,912.14 is: 5,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.95 : 8,005.16 = 3,912.14 : x
  2. Step 2: Convert to fraction form
    5,802.95/8,005.16 = 3,912.14/x
  3. Step 3: Cross multiply
    5,802.95x = 8,005.16 × 3,912.14
  4. Step 4: Simplify right side
    5,802.95x = 31,317,336.44
  5. Step 5: Solve for x
    x = 31,317,336.44/5,802.95
  6. Step 6: Final answer
    x = 5,396.79

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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.