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Finding the Fourth Proportional to 30,989.78, 46,480.72 and 9,932.01

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Solution

The fourth proportional to 30,989.78, 46,480.72 and 9,932.01 is: 14,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.78 : 46,480.72 = 9,932.01 : x
  2. Step 2: Convert to fraction form
    30,989.78/46,480.72 = 9,932.01/x
  3. Step 3: Cross multiply
    30,989.78x = 46,480.72 × 9,932.01
  4. Step 4: Simplify right side
    30,989.78x = 461,646,975.85
  5. Step 5: Solve for x
    x = 461,646,975.85/30,989.78
  6. Step 6: Final answer
    x = 14,896.75

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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.