Home / 3,114.10-4,672.12-922.84

Finding the Fourth Proportional to 3,114.10, 4,672.12 and 922.84

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Solution

The fourth proportional to 3,114.10, 4,672.12 and 922.84 is: 1,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.10 : 4,672.12 = 922.84 : x
  2. Step 2: Convert to fraction form
    3,114.10/4,672.12 = 922.84/x
  3. Step 3: Cross multiply
    3,114.10x = 4,672.12 × 922.84
  4. Step 4: Simplify right side
    3,114.10x = 4,311,619.22
  5. Step 5: Solve for x
    x = 4,311,619.22/3,114.10
  6. Step 6: Final answer
    x = 1,384.55

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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.