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Finding the Fourth Proportional to 3,935, 5,430.84 and 2,537.48

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Solution

The fourth proportional to 3,935, 5,430.84 and 2,537.48 is: 3,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935 : 5,430.84 = 2,537.48 : x
  2. Step 2: Convert to fraction form
    3,935/5,430.84 = 2,537.48/x
  3. Step 3: Cross multiply
    3,935x = 5,430.84 × 2,537.48
  4. Step 4: Simplify right side
    3,935x = 13,780,647.88
  5. Step 5: Solve for x
    x = 13,780,647.88/3,935
  6. Step 6: Final answer
    x = 3,502.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.