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Finding the Fourth Proportional to 2,938, 4,409 and 1,206.60

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Solution

The fourth proportional to 2,938, 4,409 and 1,206.60 is: 1,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938 : 4,409 = 1,206.60 : x
  2. Step 2: Convert to fraction form
    2,938/4,409 = 1,206.60/x
  3. Step 3: Cross multiply
    2,938x = 4,409 × 1,206.60
  4. Step 4: Simplify right side
    2,938x = 5,319,899.40
  5. Step 5: Solve for x
    x = 5,319,899.40/2,938
  6. Step 6: Final answer
    x = 1,810.72

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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.