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Finding the Fourth Proportional to 1,983.09, 2,970.67 and 944.10

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Solution

The fourth proportional to 1,983.09, 2,970.67 and 944.10 is: 1,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.09 : 2,970.67 = 944.10 : x
  2. Step 2: Convert to fraction form
    1,983.09/2,970.67 = 944.10/x
  3. Step 3: Cross multiply
    1,983.09x = 2,970.67 × 944.10
  4. Step 4: Simplify right side
    1,983.09x = 2,804,607.19
  5. Step 5: Solve for x
    x = 2,804,607.19/1,983.09
  6. Step 6: Final answer
    x = 1,414.26

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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.