Home / 1,492.09-2,223.14-1,408.25

Finding the Fourth Proportional to 1,492.09, 2,223.14 and 1,408.25

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Solution

The fourth proportional to 1,492.09, 2,223.14 and 1,408.25 is: 2,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.09 : 2,223.14 = 1,408.25 : x
  2. Step 2: Convert to fraction form
    1,492.09/2,223.14 = 1,408.25/x
  3. Step 3: Cross multiply
    1,492.09x = 2,223.14 × 1,408.25
  4. Step 4: Simplify right side
    1,492.09x = 3,130,729.86
  5. Step 5: Solve for x
    x = 3,130,729.86/1,492.09
  6. Step 6: Final answer
    x = 2,098.22

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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.