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Finding the Fourth Proportional to 2,018, 2,785.08 and 1,320.92

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Solution

The fourth proportional to 2,018, 2,785.08 and 1,320.92 is: 1,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018 : 2,785.08 = 1,320.92 : x
  2. Step 2: Convert to fraction form
    2,018/2,785.08 = 1,320.92/x
  3. Step 3: Cross multiply
    2,018x = 2,785.08 × 1,320.92
  4. Step 4: Simplify right side
    2,018x = 3,678,867.87
  5. Step 5: Solve for x
    x = 3,678,867.87/2,018
  6. Step 6: Final answer
    x = 1,823.03

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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.