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Finding the Fourth Proportional to 8,947.46, 12,348.62 and 5,410.69

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Solution

The fourth proportional to 8,947.46, 12,348.62 and 5,410.69 is: 7,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.46 : 12,348.62 = 5,410.69 : x
  2. Step 2: Convert to fraction form
    8,947.46/12,348.62 = 5,410.69/x
  3. Step 3: Cross multiply
    8,947.46x = 12,348.62 × 5,410.69
  4. Step 4: Simplify right side
    8,947.46x = 66,814,537.40
  5. Step 5: Solve for x
    x = 66,814,537.40/8,947.46
  6. Step 6: Final answer
    x = 7,467.43

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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.