Home / 1,406.94-2,112.21-1,024.62

Finding the Fourth Proportional to 1,406.94, 2,112.21 and 1,024.62

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Solution

The fourth proportional to 1,406.94, 2,112.21 and 1,024.62 is: 1,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.94 : 2,112.21 = 1,024.62 : x
  2. Step 2: Convert to fraction form
    1,406.94/2,112.21 = 1,024.62/x
  3. Step 3: Cross multiply
    1,406.94x = 2,112.21 × 1,024.62
  4. Step 4: Simplify right side
    1,406.94x = 2,164,212.61
  5. Step 5: Solve for x
    x = 2,164,212.61/1,406.94
  6. Step 6: Final answer
    x = 1,538.24

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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.