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Finding the Fourth Proportional to 2,018, 3,026.76 and 977.12

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Solution

The fourth proportional to 2,018, 3,026.76 and 977.12 is: 1,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018 : 3,026.76 = 977.12 : x
  2. Step 2: Convert to fraction form
    2,018/3,026.76 = 977.12/x
  3. Step 3: Cross multiply
    2,018x = 3,026.76 × 977.12
  4. Step 4: Simplify right side
    2,018x = 2,957,507.73
  5. Step 5: Solve for x
    x = 2,957,507.73/2,018
  6. Step 6: Final answer
    x = 1,465.56

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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.