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Finding the Fourth Proportional to 2,038.85, 3,058.20 and 652.28

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Solution

The fourth proportional to 2,038.85, 3,058.20 and 652.28 is: 978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.85 : 3,058.20 = 652.28 : x
  2. Step 2: Convert to fraction form
    2,038.85/3,058.20 = 652.28/x
  3. Step 3: Cross multiply
    2,038.85x = 3,058.20 × 652.28
  4. Step 4: Simplify right side
    2,038.85x = 1,994,787.41
  5. Step 5: Solve for x
    x = 1,994,787.41/2,038.85
  6. Step 6: Final answer
    x = 978.39

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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.