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Finding the Fourth Proportional to 2,018, 2,785.02 and 1,133.84

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Solution

The fourth proportional to 2,018, 2,785.02 and 1,133.84 is: 1,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018 : 2,785.02 = 1,133.84 : x
  2. Step 2: Convert to fraction form
    2,018/2,785.02 = 1,133.84/x
  3. Step 3: Cross multiply
    2,018x = 2,785.02 × 1,133.84
  4. Step 4: Simplify right side
    2,018x = 3,157,767.08
  5. Step 5: Solve for x
    x = 3,157,767.08/2,018
  6. Step 6: Final answer
    x = 1,564.80

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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.