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Finding the Fourth Proportional to 6,476.98, 8,937.44 and 3,643.78

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Solution

The fourth proportional to 6,476.98, 8,937.44 and 3,643.78 is: 5,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.98 : 8,937.44 = 3,643.78 : x
  2. Step 2: Convert to fraction form
    6,476.98/8,937.44 = 3,643.78/x
  3. Step 3: Cross multiply
    6,476.98x = 8,937.44 × 3,643.78
  4. Step 4: Simplify right side
    6,476.98x = 32,566,065.12
  5. Step 5: Solve for x
    x = 32,566,065.12/6,476.98
  6. Step 6: Final answer
    x = 5,027.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.