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Finding the Fourth Proportional to 1,689.72, 2,318.48 and 1,596.84

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Solution

The fourth proportional to 1,689.72, 2,318.48 and 1,596.84 is: 2,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.72 : 2,318.48 = 1,596.84 : x
  2. Step 2: Convert to fraction form
    1,689.72/2,318.48 = 1,596.84/x
  3. Step 3: Cross multiply
    1,689.72x = 2,318.48 × 1,596.84
  4. Step 4: Simplify right side
    1,689.72x = 3,702,233.62
  5. Step 5: Solve for x
    x = 3,702,233.62/1,689.72
  6. Step 6: Final answer
    x = 2,191.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.