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Finding the Fourth Proportional to 1,403.12, 1,938.12 and 938

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Solution

The fourth proportional to 1,403.12, 1,938.12 and 938 is: 1,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.12 : 1,938.12 = 938 : x
  2. Step 2: Convert to fraction form
    1,403.12/1,938.12 = 938/x
  3. Step 3: Cross multiply
    1,403.12x = 1,938.12 × 938
  4. Step 4: Simplify right side
    1,403.12x = 1,817,956.56
  5. Step 5: Solve for x
    x = 1,817,956.56/1,403.12
  6. Step 6: Final answer
    x = 1,295.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.