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Finding the Fourth Proportional to 2,018.64, 3,028.02 and 557.81

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Solution

The fourth proportional to 2,018.64, 3,028.02 and 557.81 is: 836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.64 : 3,028.02 = 557.81 : x
  2. Step 2: Convert to fraction form
    2,018.64/3,028.02 = 557.81/x
  3. Step 3: Cross multiply
    2,018.64x = 3,028.02 × 557.81
  4. Step 4: Simplify right side
    2,018.64x = 1,689,044.70
  5. Step 5: Solve for x
    x = 1,689,044.70/2,018.64
  6. Step 6: Final answer
    x = 836.72

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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.