Home / 1,421.71-2,116-1,408.03

Finding the Fourth Proportional to 1,421.71, 2,116 and 1,408.03

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Solution

The fourth proportional to 1,421.71, 2,116 and 1,408.03 is: 2,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.71 : 2,116 = 1,408.03 : x
  2. Step 2: Convert to fraction form
    1,421.71/2,116 = 1,408.03/x
  3. Step 3: Cross multiply
    1,421.71x = 2,116 × 1,408.03
  4. Step 4: Simplify right side
    1,421.71x = 2,979,391.48
  5. Step 5: Solve for x
    x = 2,979,391.48/1,421.71
  6. Step 6: Final answer
    x = 2,095.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.