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Finding the Fourth Proportional to 3,237.90, 4,857 and 1,046.78

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Solution

The fourth proportional to 3,237.90, 4,857 and 1,046.78 is: 1,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.90 : 4,857 = 1,046.78 : x
  2. Step 2: Convert to fraction form
    3,237.90/4,857 = 1,046.78/x
  3. Step 3: Cross multiply
    3,237.90x = 4,857 × 1,046.78
  4. Step 4: Simplify right side
    3,237.90x = 5,084,210.46
  5. Step 5: Solve for x
    x = 5,084,210.46/3,237.90
  6. Step 6: Final answer
    x = 1,570.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.