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Finding the Fourth Proportional to 1,873.81, 2,586 and 1,378.72

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Solution

The fourth proportional to 1,873.81, 2,586 and 1,378.72 is: 1,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.81 : 2,586 = 1,378.72 : x
  2. Step 2: Convert to fraction form
    1,873.81/2,586 = 1,378.72/x
  3. Step 3: Cross multiply
    1,873.81x = 2,586 × 1,378.72
  4. Step 4: Simplify right side
    1,873.81x = 3,565,369.92
  5. Step 5: Solve for x
    x = 3,565,369.92/1,873.81
  6. Step 6: Final answer
    x = 1,902.74

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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.