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Finding the Fourth Proportional to 6,438, 9,654.94 and 2,054.44

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Solution

The fourth proportional to 6,438, 9,654.94 and 2,054.44 is: 3,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 9,654.94 = 2,054.44 : x
  2. Step 2: Convert to fraction form
    6,438/9,654.94 = 2,054.44/x
  3. Step 3: Cross multiply
    6,438x = 9,654.94 × 2,054.44
  4. Step 4: Simplify right side
    6,438x = 19,835,494.93
  5. Step 5: Solve for x
    x = 19,835,494.93/6,438
  6. Step 6: Final answer
    x = 3,081.00

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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.