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Finding the Fourth Proportional to 1,378.73, 1,902.36 and 1,005.81

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Solution

The fourth proportional to 1,378.73, 1,902.36 and 1,005.81 is: 1,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.73 : 1,902.36 = 1,005.81 : x
  2. Step 2: Convert to fraction form
    1,378.73/1,902.36 = 1,005.81/x
  3. Step 3: Cross multiply
    1,378.73x = 1,902.36 × 1,005.81
  4. Step 4: Simplify right side
    1,378.73x = 1,913,412.71
  5. Step 5: Solve for x
    x = 1,913,412.71/1,378.73
  6. Step 6: Final answer
    x = 1,387.81

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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.