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Finding the Fourth Proportional to 30,789.16, 46,191.60 and 8,602.60

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Solution

The fourth proportional to 30,789.16, 46,191.60 and 8,602.60 is: 12,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.16 : 46,191.60 = 8,602.60 : x
  2. Step 2: Convert to fraction form
    30,789.16/46,191.60 = 8,602.60/x
  3. Step 3: Cross multiply
    30,789.16x = 46,191.60 × 8,602.60
  4. Step 4: Simplify right side
    30,789.16x = 397,367,858.16
  5. Step 5: Solve for x
    x = 397,367,858.16/30,789.16
  6. Step 6: Final answer
    x = 12,906.10

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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.