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Finding the Fourth Proportional to 46,662.12, 69,978 and 15,489

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Solution

The fourth proportional to 46,662.12, 69,978 and 15,489 is: 23,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662.12 : 69,978 = 15,489 : x
  2. Step 2: Convert to fraction form
    46,662.12/69,978 = 15,489/x
  3. Step 3: Cross multiply
    46,662.12x = 69,978 × 15,489
  4. Step 4: Simplify right side
    46,662.12x = 1,083,889,242
  5. Step 5: Solve for x
    x = 1,083,889,242/46,662.12
  6. Step 6: Final answer
    x = 23,228.46

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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.