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Finding the Fourth Proportional to 1,873.07, 2,808.02 and 1,143.16

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Solution

The fourth proportional to 1,873.07, 2,808.02 and 1,143.16 is: 1,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.07 : 2,808.02 = 1,143.16 : x
  2. Step 2: Convert to fraction form
    1,873.07/2,808.02 = 1,143.16/x
  3. Step 3: Cross multiply
    1,873.07x = 2,808.02 × 1,143.16
  4. Step 4: Simplify right side
    1,873.07x = 3,210,021.35
  5. Step 5: Solve for x
    x = 3,210,021.35/1,873.07
  6. Step 6: Final answer
    x = 1,713.77

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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.