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Finding the Fourth Proportional to 5,323.40, 7,346.40 and 3,086

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Solution

The fourth proportional to 5,323.40, 7,346.40 and 3,086 is: 4,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.40 : 7,346.40 = 3,086 : x
  2. Step 2: Convert to fraction form
    5,323.40/7,346.40 = 3,086/x
  3. Step 3: Cross multiply
    5,323.40x = 7,346.40 × 3,086
  4. Step 4: Simplify right side
    5,323.40x = 22,670,990.40
  5. Step 5: Solve for x
    x = 22,670,990.40/5,323.40
  6. Step 6: Final answer
    x = 4,258.74

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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.