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Finding the Fourth Proportional to 30,881.36, 46,321.70 and 7,507.82

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Solution

The fourth proportional to 30,881.36, 46,321.70 and 7,507.82 is: 11,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.36 : 46,321.70 = 7,507.82 : x
  2. Step 2: Convert to fraction form
    30,881.36/46,321.70 = 7,507.82/x
  3. Step 3: Cross multiply
    30,881.36x = 46,321.70 × 7,507.82
  4. Step 4: Simplify right side
    30,881.36x = 347,774,716.55
  5. Step 5: Solve for x
    x = 347,774,716.55/30,881.36
  6. Step 6: Final answer
    x = 11,261.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.