Home / 2,025-3,030.82-1,430.88

Finding the Fourth Proportional to 2,025, 3,030.82 and 1,430.88

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Solution

The fourth proportional to 2,025, 3,030.82 and 1,430.88 is: 2,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 3,030.82 = 1,430.88 : x
  2. Step 2: Convert to fraction form
    2,025/3,030.82 = 1,430.88/x
  3. Step 3: Cross multiply
    2,025x = 3,030.82 × 1,430.88
  4. Step 4: Simplify right side
    2,025x = 4,336,739.72
  5. Step 5: Solve for x
    x = 4,336,739.72/2,025
  6. Step 6: Final answer
    x = 2,141.60

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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.