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Finding the Fourth Proportional to 1,964, 2,947.68 and 938.24

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Solution

The fourth proportional to 1,964, 2,947.68 and 938.24 is: 1,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964 : 2,947.68 = 938.24 : x
  2. Step 2: Convert to fraction form
    1,964/2,947.68 = 938.24/x
  3. Step 3: Cross multiply
    1,964x = 2,947.68 × 938.24
  4. Step 4: Simplify right side
    1,964x = 2,765,631.28
  5. Step 5: Solve for x
    x = 2,765,631.28/1,964
  6. Step 6: Final answer
    x = 1,408.16

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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.