Home / 1,406.61-2,108.07-822.20

Finding the Fourth Proportional to 1,406.61, 2,108.07 and 822.20

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Solution

The fourth proportional to 1,406.61, 2,108.07 and 822.20 is: 1,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.61 : 2,108.07 = 822.20 : x
  2. Step 2: Convert to fraction form
    1,406.61/2,108.07 = 822.20/x
  3. Step 3: Cross multiply
    1,406.61x = 2,108.07 × 822.20
  4. Step 4: Simplify right side
    1,406.61x = 1,733,244.61
  5. Step 5: Solve for x
    x = 1,733,244.61/1,406.61
  6. Step 6: Final answer
    x = 1,232.21

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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.