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Finding the Fourth Proportional to 1,381.54, 1,904.97 and 1,007.86

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Solution

The fourth proportional to 1,381.54, 1,904.97 and 1,007.86 is: 1,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.54 : 1,904.97 = 1,007.86 : x
  2. Step 2: Convert to fraction form
    1,381.54/1,904.97 = 1,007.86/x
  3. Step 3: Cross multiply
    1,381.54x = 1,904.97 × 1,007.86
  4. Step 4: Simplify right side
    1,381.54x = 1,919,943.06
  5. Step 5: Solve for x
    x = 1,919,943.06/1,381.54
  6. Step 6: Final answer
    x = 1,389.71

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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.