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Finding the Fourth Proportional to 3,290, 4,937.40 and 1,238

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Solution

The fourth proportional to 3,290, 4,937.40 and 1,238 is: 1,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 4,937.40 = 1,238 : x
  2. Step 2: Convert to fraction form
    3,290/4,937.40 = 1,238/x
  3. Step 3: Cross multiply
    3,290x = 4,937.40 × 1,238
  4. Step 4: Simplify right side
    3,290x = 6,112,501.20
  5. Step 5: Solve for x
    x = 6,112,501.20/3,290
  6. Step 6: Final answer
    x = 1,857.90

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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.