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Finding the Fourth Proportional to 30,422.52, 41,978.88 and 16,993.08

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Solution

The fourth proportional to 30,422.52, 41,978.88 and 16,993.08 is: 23,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.52 : 41,978.88 = 16,993.08 : x
  2. Step 2: Convert to fraction form
    30,422.52/41,978.88 = 16,993.08/x
  3. Step 3: Cross multiply
    30,422.52x = 41,978.88 × 16,993.08
  4. Step 4: Simplify right side
    30,422.52x = 713,350,466.15
  5. Step 5: Solve for x
    x = 713,350,466.15/30,422.52
  6. Step 6: Final answer
    x = 23,448.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.