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Finding the Fourth Proportional to 2,847.81, 4,272.70 and 999.19

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Solution

The fourth proportional to 2,847.81, 4,272.70 and 999.19 is: 1,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.81 : 4,272.70 = 999.19 : x
  2. Step 2: Convert to fraction form
    2,847.81/4,272.70 = 999.19/x
  3. Step 3: Cross multiply
    2,847.81x = 4,272.70 × 999.19
  4. Step 4: Simplify right side
    2,847.81x = 4,269,219.80
  5. Step 5: Solve for x
    x = 4,269,219.80/2,847.81
  6. Step 6: Final answer
    x = 1,499.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.