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Finding the Fourth Proportional to 2,153.02, 2,971.17 and 1,408.24

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Solution

The fourth proportional to 2,153.02, 2,971.17 and 1,408.24 is: 1,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.02 : 2,971.17 = 1,408.24 : x
  2. Step 2: Convert to fraction form
    2,153.02/2,971.17 = 1,408.24/x
  3. Step 3: Cross multiply
    2,153.02x = 2,971.17 × 1,408.24
  4. Step 4: Simplify right side
    2,153.02x = 4,184,120.44
  5. Step 5: Solve for x
    x = 4,184,120.44/2,153.02
  6. Step 6: Final answer
    x = 1,943.37

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1.5x scale

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.