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Finding the Fourth Proportional to 30,919.68, 46,388.16 and 12,188.16

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Solution

The fourth proportional to 30,919.68, 46,388.16 and 12,188.16 is: 18,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.68 : 46,388.16 = 12,188.16 : x
  2. Step 2: Convert to fraction form
    30,919.68/46,388.16 = 12,188.16/x
  3. Step 3: Cross multiply
    30,919.68x = 46,388.16 × 12,188.16
  4. Step 4: Simplify right side
    30,919.68x = 565,386,316.19
  5. Step 5: Solve for x
    x = 565,386,316.19/30,919.68
  6. Step 6: Final answer
    x = 18,285.65

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Why These Related Problems?

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