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Finding the Fourth Proportional to 6,428.59, 9,643.59 and 2,045.03

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Solution

The fourth proportional to 6,428.59, 9,643.59 and 2,045.03 is: 3,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.59 : 9,643.59 = 2,045.03 : x
  2. Step 2: Convert to fraction form
    6,428.59/9,643.59 = 2,045.03/x
  3. Step 3: Cross multiply
    6,428.59x = 9,643.59 × 2,045.03
  4. Step 4: Simplify right side
    6,428.59x = 19,721,382.64
  5. Step 5: Solve for x
    x = 19,721,382.64/6,428.59
  6. Step 6: Final answer
    x = 3,067.76

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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.