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Finding the Fourth Proportional to 3,129.44, 4,695.06 and 938.49

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Solution

The fourth proportional to 3,129.44, 4,695.06 and 938.49 is: 1,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.44 : 4,695.06 = 938.49 : x
  2. Step 2: Convert to fraction form
    3,129.44/4,695.06 = 938.49/x
  3. Step 3: Cross multiply
    3,129.44x = 4,695.06 × 938.49
  4. Step 4: Simplify right side
    3,129.44x = 4,406,252.77
  5. Step 5: Solve for x
    x = 4,406,252.77/3,129.44
  6. Step 6: Final answer
    x = 1,408.00

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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.