Home / 1,407.14-2,110.10-540.84

Finding the Fourth Proportional to 1,407.14, 2,110.10 and 540.84

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Solution

The fourth proportional to 1,407.14, 2,110.10 and 540.84 is: 811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.14 : 2,110.10 = 540.84 : x
  2. Step 2: Convert to fraction form
    1,407.14/2,110.10 = 540.84/x
  3. Step 3: Cross multiply
    1,407.14x = 2,110.10 × 540.84
  4. Step 4: Simplify right side
    1,407.14x = 1,141,234.73
  5. Step 5: Solve for x
    x = 1,141,234.73/1,407.14
  6. Step 6: Final answer
    x = 811.03

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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.