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Finding the Fourth Proportional to 30,967.86, 42,734.04 and 16,820.66

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Solution

The fourth proportional to 30,967.86, 42,734.04 and 16,820.66 is: 23,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.86 : 42,734.04 = 16,820.66 : x
  2. Step 2: Convert to fraction form
    30,967.86/42,734.04 = 16,820.66/x
  3. Step 3: Cross multiply
    30,967.86x = 42,734.04 × 16,820.66
  4. Step 4: Simplify right side
    30,967.86x = 718,814,757.27
  5. Step 5: Solve for x
    x = 718,814,757.27/30,967.86
  6. Step 6: Final answer
    x = 23,211.64

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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.