Home / 1,634.42-2,451.54-1,538.10

Finding the Fourth Proportional to 1,634.42, 2,451.54 and 1,538.10

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Solution

The fourth proportional to 1,634.42, 2,451.54 and 1,538.10 is: 2,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.42 : 2,451.54 = 1,538.10 : x
  2. Step 2: Convert to fraction form
    1,634.42/2,451.54 = 1,538.10/x
  3. Step 3: Cross multiply
    1,634.42x = 2,451.54 × 1,538.10
  4. Step 4: Simplify right side
    1,634.42x = 3,770,713.67
  5. Step 5: Solve for x
    x = 3,770,713.67/1,634.42
  6. Step 6: Final answer
    x = 2,307.07

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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.