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Finding the Fourth Proportional to 1,986.80, 2,978.07 and 1,256.58

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Solution

The fourth proportional to 1,986.80, 2,978.07 and 1,256.58 is: 1,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.80 : 2,978.07 = 1,256.58 : x
  2. Step 2: Convert to fraction form
    1,986.80/2,978.07 = 1,256.58/x
  3. Step 3: Cross multiply
    1,986.80x = 2,978.07 × 1,256.58
  4. Step 4: Simplify right side
    1,986.80x = 3,742,178.49
  5. Step 5: Solve for x
    x = 3,742,178.49/1,986.80
  6. Step 6: Final answer
    x = 1,883.53

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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.