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Finding the Fourth Proportional to 1,986.21, 2,978.10 and 946.17

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Solution

The fourth proportional to 1,986.21, 2,978.10 and 946.17 is: 1,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.21 : 2,978.10 = 946.17 : x
  2. Step 2: Convert to fraction form
    1,986.21/2,978.10 = 946.17/x
  3. Step 3: Cross multiply
    1,986.21x = 2,978.10 × 946.17
  4. Step 4: Simplify right side
    1,986.21x = 2,817,788.88
  5. Step 5: Solve for x
    x = 2,817,788.88/1,986.21
  6. Step 6: Final answer
    x = 1,418.68

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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.