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Finding the Fourth Proportional to 30,999, 42,778.52 and 16,851.75

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Solution

The fourth proportional to 30,999, 42,778.52 and 16,851.75 is: 23,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999 : 42,778.52 = 16,851.75 : x
  2. Step 2: Convert to fraction form
    30,999/42,778.52 = 16,851.75/x
  3. Step 3: Cross multiply
    30,999x = 42,778.52 × 16,851.75
  4. Step 4: Simplify right side
    30,999x = 720,892,626.26
  5. Step 5: Solve for x
    x = 720,892,626.26/30,999
  6. Step 6: Final answer
    x = 23,255.35

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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.