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Finding the Fourth Proportional to 3,032.82, 4,549.20 and 841.54

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Solution

The fourth proportional to 3,032.82, 4,549.20 and 841.54 is: 1,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.82 : 4,549.20 = 841.54 : x
  2. Step 2: Convert to fraction form
    3,032.82/4,549.20 = 841.54/x
  3. Step 3: Cross multiply
    3,032.82x = 4,549.20 × 841.54
  4. Step 4: Simplify right side
    3,032.82x = 3,828,333.77
  5. Step 5: Solve for x
    x = 3,828,333.77/3,032.82
  6. Step 6: Final answer
    x = 1,262.30

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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.