Home / 4,030-6,045.21-1,433.14

Finding the Fourth Proportional to 4,030, 6,045.21 and 1,433.14

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Solution

The fourth proportional to 4,030, 6,045.21 and 1,433.14 is: 2,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030 : 6,045.21 = 1,433.14 : x
  2. Step 2: Convert to fraction form
    4,030/6,045.21 = 1,433.14/x
  3. Step 3: Cross multiply
    4,030x = 6,045.21 × 1,433.14
  4. Step 4: Simplify right side
    4,030x = 8,663,632.26
  5. Step 5: Solve for x
    x = 8,663,632.26/4,030
  6. Step 6: Final answer
    x = 2,149.78

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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.