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Finding the Fourth Proportional to 2,038.32, 3,056.84 and 670

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Solution

The fourth proportional to 2,038.32, 3,056.84 and 670 is: 1,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.32 : 3,056.84 = 670 : x
  2. Step 2: Convert to fraction form
    2,038.32/3,056.84 = 670/x
  3. Step 3: Cross multiply
    2,038.32x = 3,056.84 × 670
  4. Step 4: Simplify right side
    2,038.32x = 2,048,082.80
  5. Step 5: Solve for x
    x = 2,048,082.80/2,038.32
  6. Step 6: Final answer
    x = 1,004.79

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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.