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Finding the Fourth Proportional to 3,137.04, 4,706 and 945.52

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Solution

The fourth proportional to 3,137.04, 4,706 and 945.52 is: 1,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.04 : 4,706 = 945.52 : x
  2. Step 2: Convert to fraction form
    3,137.04/4,706 = 945.52/x
  3. Step 3: Cross multiply
    3,137.04x = 4,706 × 945.52
  4. Step 4: Simplify right side
    3,137.04x = 4,449,617.12
  5. Step 5: Solve for x
    x = 4,449,617.12/3,137.04
  6. Step 6: Final answer
    x = 1,418.41

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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.