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Finding the Fourth Proportional to 2,048.20, 3,072.80 and 587.36

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Solution

The fourth proportional to 2,048.20, 3,072.80 and 587.36 is: 881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.20 : 3,072.80 = 587.36 : x
  2. Step 2: Convert to fraction form
    2,048.20/3,072.80 = 587.36/x
  3. Step 3: Cross multiply
    2,048.20x = 3,072.80 × 587.36
  4. Step 4: Simplify right side
    2,048.20x = 1,804,839.81
  5. Step 5: Solve for x
    x = 1,804,839.81/2,048.20
  6. Step 6: Final answer
    x = 881.18

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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.