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Finding the Fourth Proportional to 30,680.40, 46,009.80 and 10,959.60

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Solution

The fourth proportional to 30,680.40, 46,009.80 and 10,959.60 is: 16,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.40 : 46,009.80 = 10,959.60 : x
  2. Step 2: Convert to fraction form
    30,680.40/46,009.80 = 10,959.60/x
  3. Step 3: Cross multiply
    30,680.40x = 46,009.80 × 10,959.60
  4. Step 4: Simplify right side
    30,680.40x = 504,249,004.08
  5. Step 5: Solve for x
    x = 504,249,004.08/30,680.40
  6. Step 6: Final answer
    x = 16,435.54

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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.