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Finding the Fourth Proportional to 46,268, 69,396.84 and 12,989.36

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Solution

The fourth proportional to 46,268, 69,396.84 and 12,989.36 is: 19,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,268 : 69,396.84 = 12,989.36 : x
  2. Step 2: Convert to fraction form
    46,268/69,396.84 = 12,989.36/x
  3. Step 3: Cross multiply
    46,268x = 69,396.84 × 12,989.36
  4. Step 4: Simplify right side
    46,268x = 901,420,537.62
  5. Step 5: Solve for x
    x = 901,420,537.62/46,268
  6. Step 6: Final answer
    x = 19,482.59

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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.