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Finding the Fourth Proportional to 5,157.85, 7,738.32 and 2,038.30

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Solution

The fourth proportional to 5,157.85, 7,738.32 and 2,038.30 is: 3,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.85 : 7,738.32 = 2,038.30 : x
  2. Step 2: Convert to fraction form
    5,157.85/7,738.32 = 2,038.30/x
  3. Step 3: Cross multiply
    5,157.85x = 7,738.32 × 2,038.30
  4. Step 4: Simplify right side
    5,157.85x = 15,773,017.66
  5. Step 5: Solve for x
    x = 15,773,017.66/5,157.85
  6. Step 6: Final answer
    x = 3,058.06

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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.