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Finding the Fourth Proportional to 2,147.98, 3,222.08 and 687.02

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Solution

The fourth proportional to 2,147.98, 3,222.08 and 687.02 is: 1,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.98 : 3,222.08 = 687.02 : x
  2. Step 2: Convert to fraction form
    2,147.98/3,222.08 = 687.02/x
  3. Step 3: Cross multiply
    2,147.98x = 3,222.08 × 687.02
  4. Step 4: Simplify right side
    2,147.98x = 2,213,633.40
  5. Step 5: Solve for x
    x = 2,213,633.40/2,147.98
  6. Step 6: Final answer
    x = 1,030.57

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1.5x scale

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.