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Finding the Fourth Proportional to 1,873.92, 2,811.84 and 1,365.12

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Solution

The fourth proportional to 1,873.92, 2,811.84 and 1,365.12 is: 2,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.92 : 2,811.84 = 1,365.12 : x
  2. Step 2: Convert to fraction form
    1,873.92/2,811.84 = 1,365.12/x
  3. Step 3: Cross multiply
    1,873.92x = 2,811.84 × 1,365.12
  4. Step 4: Simplify right side
    1,873.92x = 3,838,499.02
  5. Step 5: Solve for x
    x = 3,838,499.02/1,873.92
  6. Step 6: Final answer
    x = 2,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.