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Finding the Fourth Proportional to 2,806.78, 4,210.15 and 2,191.00

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Solution

The fourth proportional to 2,806.78, 4,210.15 and 2,191.00 is: 3,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.78 : 4,210.15 = 2,191.00 : x
  2. Step 2: Convert to fraction form
    2,806.78/4,210.15 = 2,191.00/x
  3. Step 3: Cross multiply
    2,806.78x = 4,210.15 × 2,191.00
  4. Step 4: Simplify right side
    2,806.78x = 9,224,440.81
  5. Step 5: Solve for x
    x = 9,224,440.81/2,806.78
  6. Step 6: Final answer
    x = 3,286.49

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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.