Home / 1,600.88-2,200.64-1,431.05

Finding the Fourth Proportional to 1,600.88, 2,200.64 and 1,431.05

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Solution

The fourth proportional to 1,600.88, 2,200.64 and 1,431.05 is: 1,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.88 : 2,200.64 = 1,431.05 : x
  2. Step 2: Convert to fraction form
    1,600.88/2,200.64 = 1,431.05/x
  3. Step 3: Cross multiply
    1,600.88x = 2,200.64 × 1,431.05
  4. Step 4: Simplify right side
    1,600.88x = 3,149,207.71
  5. Step 5: Solve for x
    x = 3,149,207.71/1,600.88
  6. Step 6: Final answer
    x = 1,967.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.