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Finding the Fourth Proportional to 6,441.98, 8,894.19 and 4,947.21

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Solution

The fourth proportional to 6,441.98, 8,894.19 and 4,947.21 is: 6,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.98 : 8,894.19 = 4,947.21 : x
  2. Step 2: Convert to fraction form
    6,441.98/8,894.19 = 4,947.21/x
  3. Step 3: Cross multiply
    6,441.98x = 8,894.19 × 4,947.21
  4. Step 4: Simplify right side
    6,441.98x = 44,001,425.71
  5. Step 5: Solve for x
    x = 44,001,425.71/6,441.98
  6. Step 6: Final answer
    x = 6,830.42

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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.