Home / 1,534.20-2,302.26-1,403.64

Finding the Fourth Proportional to 1,534.20, 2,302.26 and 1,403.64

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Solution

The fourth proportional to 1,534.20, 2,302.26 and 1,403.64 is: 2,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.20 : 2,302.26 = 1,403.64 : x
  2. Step 2: Convert to fraction form
    1,534.20/2,302.26 = 1,403.64/x
  3. Step 3: Cross multiply
    1,534.20x = 2,302.26 × 1,403.64
  4. Step 4: Simplify right side
    1,534.20x = 3,231,544.23
  5. Step 5: Solve for x
    x = 3,231,544.23/1,534.20
  6. Step 6: Final answer
    x = 2,106.34

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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.