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Finding the Fourth Proportional to 5,709.36, 7,878.58 and 3,319.16

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Solution

The fourth proportional to 5,709.36, 7,878.58 and 3,319.16 is: 4,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.36 : 7,878.58 = 3,319.16 : x
  2. Step 2: Convert to fraction form
    5,709.36/7,878.58 = 3,319.16/x
  3. Step 3: Cross multiply
    5,709.36x = 7,878.58 × 3,319.16
  4. Step 4: Simplify right side
    5,709.36x = 26,150,267.59
  5. Step 5: Solve for x
    x = 26,150,267.59/5,709.36
  6. Step 6: Final answer
    x = 4,580.24

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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.