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Finding the Fourth Proportional to 2,084.65, 3,120.90 and 2,023.90

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Solution

The fourth proportional to 2,084.65, 3,120.90 and 2,023.90 is: 3,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.65 : 3,120.90 = 2,023.90 : x
  2. Step 2: Convert to fraction form
    2,084.65/3,120.90 = 2,023.90/x
  3. Step 3: Cross multiply
    2,084.65x = 3,120.90 × 2,023.90
  4. Step 4: Simplify right side
    2,084.65x = 6,316,389.51
  5. Step 5: Solve for x
    x = 6,316,389.51/2,084.65
  6. Step 6: Final answer
    x = 3,029.95

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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.