Home / 1,669.28-2,499.53-1,408.64

Finding the Fourth Proportional to 1,669.28, 2,499.53 and 1,408.64

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Solution

The fourth proportional to 1,669.28, 2,499.53 and 1,408.64 is: 2,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.28 : 2,499.53 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    1,669.28/2,499.53 = 1,408.64/x
  3. Step 3: Cross multiply
    1,669.28x = 2,499.53 × 1,408.64
  4. Step 4: Simplify right side
    1,669.28x = 3,520,918.40
  5. Step 5: Solve for x
    x = 3,520,918.40/1,669.28
  6. Step 6: Final answer
    x = 2,109.25

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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.