Home / 3,114.30-4,671.34-923.02

Finding the Fourth Proportional to 3,114.30, 4,671.34 and 923.02

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Solution

The fourth proportional to 3,114.30, 4,671.34 and 923.02 is: 1,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.30 : 4,671.34 = 923.02 : x
  2. Step 2: Convert to fraction form
    3,114.30/4,671.34 = 923.02/x
  3. Step 3: Cross multiply
    3,114.30x = 4,671.34 × 923.02
  4. Step 4: Simplify right side
    3,114.30x = 4,311,740.25
  5. Step 5: Solve for x
    x = 4,311,740.25/3,114.30
  6. Step 6: Final answer
    x = 1,384.50

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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.