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Finding the Fourth Proportional to 30,999.68, 42,780.48 and 16,853.44

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Solution

The fourth proportional to 30,999.68, 42,780.48 and 16,853.44 is: 23,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.68 : 42,780.48 = 16,853.44 : x
  2. Step 2: Convert to fraction form
    30,999.68/42,780.48 = 16,853.44/x
  3. Step 3: Cross multiply
    30,999.68x = 42,780.48 × 16,853.44
  4. Step 4: Simplify right side
    30,999.68x = 720,998,252.85
  5. Step 5: Solve for x
    x = 720,998,252.85/30,999.68
  6. Step 6: Final answer
    x = 23,258.25

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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.