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Finding the Fourth Proportional to 30,703.16, 46,054.74 and 8,516.54

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Solution

The fourth proportional to 30,703.16, 46,054.74 and 8,516.54 is: 12,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.16 : 46,054.74 = 8,516.54 : x
  2. Step 2: Convert to fraction form
    30,703.16/46,054.74 = 8,516.54/x
  3. Step 3: Cross multiply
    30,703.16x = 46,054.74 × 8,516.54
  4. Step 4: Simplify right side
    30,703.16x = 392,227,021.35
  5. Step 5: Solve for x
    x = 392,227,021.35/30,703.16
  6. Step 6: Final answer
    x = 12,774.81

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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.