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Finding the Fourth Proportional to 1,693.78, 2,528.84 and 1,462.42

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Solution

The fourth proportional to 1,693.78, 2,528.84 and 1,462.42 is: 2,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.78 : 2,528.84 = 1,462.42 : x
  2. Step 2: Convert to fraction form
    1,693.78/2,528.84 = 1,462.42/x
  3. Step 3: Cross multiply
    1,693.78x = 2,528.84 × 1,462.42
  4. Step 4: Simplify right side
    1,693.78x = 3,698,226.19
  5. Step 5: Solve for x
    x = 3,698,226.19/1,693.78
  6. Step 6: Final answer
    x = 2,183.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.