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Finding the Fourth Proportional to 30,994.76, 42,773.05 and 16,847.64

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Solution

The fourth proportional to 30,994.76, 42,773.05 and 16,847.64 is: 23,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.76 : 42,773.05 = 16,847.64 : x
  2. Step 2: Convert to fraction form
    30,994.76/42,773.05 = 16,847.64/x
  3. Step 3: Cross multiply
    30,994.76x = 42,773.05 × 16,847.64
  4. Step 4: Simplify right side
    30,994.76x = 720,624,948.10
  5. Step 5: Solve for x
    x = 720,624,948.10/30,994.76
  6. Step 6: Final answer
    x = 23,249.90

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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.