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Finding the Fourth Proportional to 2,846.65, 4,269.50 and 766.19

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Solution

The fourth proportional to 2,846.65, 4,269.50 and 766.19 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.65 : 4,269.50 = 766.19 : x
  2. Step 2: Convert to fraction form
    2,846.65/4,269.50 = 766.19/x
  3. Step 3: Cross multiply
    2,846.65x = 4,269.50 × 766.19
  4. Step 4: Simplify right side
    2,846.65x = 3,271,255.05
  5. Step 5: Solve for x
    x = 3,271,255.05/2,846.65
  6. Step 6: Final answer
    x = 1,149.16

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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.