Home / 2,153.44-2,972.96-1,408.16

Finding the Fourth Proportional to 2,153.44, 2,972.96 and 1,408.16

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Solution

The fourth proportional to 2,153.44, 2,972.96 and 1,408.16 is: 1,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.44 : 2,972.96 = 1,408.16 : x
  2. Step 2: Convert to fraction form
    2,153.44/2,972.96 = 1,408.16/x
  3. Step 3: Cross multiply
    2,153.44x = 2,972.96 × 1,408.16
  4. Step 4: Simplify right side
    2,153.44x = 4,186,388.49
  5. Step 5: Solve for x
    x = 4,186,388.49/2,153.44
  6. Step 6: Final answer
    x = 1,944.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.