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Finding the Fourth Proportional to 30,986.32, 46,497.76 and 12,268.16

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Solution

The fourth proportional to 30,986.32, 46,497.76 and 12,268.16 is: 18,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.32 : 46,497.76 = 12,268.16 : x
  2. Step 2: Convert to fraction form
    30,986.32/46,497.76 = 12,268.16/x
  3. Step 3: Cross multiply
    30,986.32x = 46,497.76 × 12,268.16
  4. Step 4: Simplify right side
    30,986.32x = 570,441,959.32
  5. Step 5: Solve for x
    x = 570,441,959.32/30,986.32
  6. Step 6: Final answer
    x = 18,409.48

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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.