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Finding the Fourth Proportional to 2,018, 3,027.52 and 785.50

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Solution

The fourth proportional to 2,018, 3,027.52 and 785.50 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018 : 3,027.52 = 785.50 : x
  2. Step 2: Convert to fraction form
    2,018/3,027.52 = 785.50/x
  3. Step 3: Cross multiply
    2,018x = 3,027.52 × 785.50
  4. Step 4: Simplify right side
    2,018x = 2,378,116.96
  5. Step 5: Solve for x
    x = 2,378,116.96/2,018
  6. Step 6: Final answer
    x = 1,178.45

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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.