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Finding the Fourth Proportional to 2,038.87, 3,058.57 and 578.06

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Solution

The fourth proportional to 2,038.87, 3,058.57 and 578.06 is: 867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.87 : 3,058.57 = 578.06 : x
  2. Step 2: Convert to fraction form
    2,038.87/3,058.57 = 578.06/x
  3. Step 3: Cross multiply
    2,038.87x = 3,058.57 × 578.06
  4. Step 4: Simplify right side
    2,038.87x = 1,768,046.07
  5. Step 5: Solve for x
    x = 1,768,046.07/2,038.87
  6. Step 6: Final answer
    x = 867.17

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Why These Related Problems?

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