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Finding the Fourth Proportional to 3,130.35, 4,695.12 and 938.90

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Solution

The fourth proportional to 3,130.35, 4,695.12 and 938.90 is: 1,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.35 : 4,695.12 = 938.90 : x
  2. Step 2: Convert to fraction form
    3,130.35/4,695.12 = 938.90/x
  3. Step 3: Cross multiply
    3,130.35x = 4,695.12 × 938.90
  4. Step 4: Simplify right side
    3,130.35x = 4,408,224.69
  5. Step 5: Solve for x
    x = 4,408,224.69/3,130.35
  6. Step 6: Final answer
    x = 1,408.22

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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.