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Finding the Fourth Proportional to 1,986.32, 2,977.40 and 815.80

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Solution

The fourth proportional to 1,986.32, 2,977.40 and 815.80 is: 1,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.32 : 2,977.40 = 815.80 : x
  2. Step 2: Convert to fraction form
    1,986.32/2,977.40 = 815.80/x
  3. Step 3: Cross multiply
    1,986.32x = 2,977.40 × 815.80
  4. Step 4: Simplify right side
    1,986.32x = 2,428,962.92
  5. Step 5: Solve for x
    x = 2,428,962.92/1,986.32
  6. Step 6: Final answer
    x = 1,222.85

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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.