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Finding the Fourth Proportional to 6,109.36, 8,430.95 and 3,314.86

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Solution

The fourth proportional to 6,109.36, 8,430.95 and 3,314.86 is: 4,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.36 : 8,430.95 = 3,314.86 : x
  2. Step 2: Convert to fraction form
    6,109.36/8,430.95 = 3,314.86/x
  3. Step 3: Cross multiply
    6,109.36x = 8,430.95 × 3,314.86
  4. Step 4: Simplify right side
    6,109.36x = 27,947,418.92
  5. Step 5: Solve for x
    x = 27,947,418.92/6,109.36
  6. Step 6: Final answer
    x = 4,574.52

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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.