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Finding the Fourth Proportional to 1,986.01, 2,977.33 and 874.59

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Solution

The fourth proportional to 1,986.01, 2,977.33 and 874.59 is: 1,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.01 : 2,977.33 = 874.59 : x
  2. Step 2: Convert to fraction form
    1,986.01/2,977.33 = 874.59/x
  3. Step 3: Cross multiply
    1,986.01x = 2,977.33 × 874.59
  4. Step 4: Simplify right side
    1,986.01x = 2,603,938.67
  5. Step 5: Solve for x
    x = 2,603,938.67/1,986.01
  6. Step 6: Final answer
    x = 1,311.14

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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.