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Finding the Fourth Proportional to 3,309.78, 4,967.52 and 1,921.19

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Solution

The fourth proportional to 3,309.78, 4,967.52 and 1,921.19 is: 2,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.78 : 4,967.52 = 1,921.19 : x
  2. Step 2: Convert to fraction form
    3,309.78/4,967.52 = 1,921.19/x
  3. Step 3: Cross multiply
    3,309.78x = 4,967.52 × 1,921.19
  4. Step 4: Simplify right side
    3,309.78x = 9,543,569.37
  5. Step 5: Solve for x
    x = 9,543,569.37/3,309.78
  6. Step 6: Final answer
    x = 2,883.44

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1.5x scale

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.