Home / 6,413-9,619.49-2,030.80

Finding the Fourth Proportional to 6,413, 9,619.49 and 2,030.80

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Solution

The fourth proportional to 6,413, 9,619.49 and 2,030.80 is: 3,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413 : 9,619.49 = 2,030.80 : x
  2. Step 2: Convert to fraction form
    6,413/9,619.49 = 2,030.80/x
  3. Step 3: Cross multiply
    6,413x = 9,619.49 × 2,030.80
  4. Step 4: Simplify right side
    6,413x = 19,535,260.29
  5. Step 5: Solve for x
    x = 19,535,260.29/6,413
  6. Step 6: Final answer
    x = 3,046.20

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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.