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Finding the Fourth Proportional to 1,381.09, 1,905.73 and 933.93

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Solution

The fourth proportional to 1,381.09, 1,905.73 and 933.93 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.09 : 1,905.73 = 933.93 : x
  2. Step 2: Convert to fraction form
    1,381.09/1,905.73 = 933.93/x
  3. Step 3: Cross multiply
    1,381.09x = 1,905.73 × 933.93
  4. Step 4: Simplify right side
    1,381.09x = 1,779,816.08
  5. Step 5: Solve for x
    x = 1,779,816.08/1,381.09
  6. Step 6: Final answer
    x = 1,288.71

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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.