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Finding the Fourth Proportional to 1,376.42, 1,898.91 and 878.93

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Solution

The fourth proportional to 1,376.42, 1,898.91 and 878.93 is: 1,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.42 : 1,898.91 = 878.93 : x
  2. Step 2: Convert to fraction form
    1,376.42/1,898.91 = 878.93/x
  3. Step 3: Cross multiply
    1,376.42x = 1,898.91 × 878.93
  4. Step 4: Simplify right side
    1,376.42x = 1,669,008.97
  5. Step 5: Solve for x
    x = 1,669,008.97/1,376.42
  6. Step 6: Final answer
    x = 1,212.57

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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.