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Finding the Fourth Proportional to 2,142.34, 3,213.22 and 582.45

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Solution

The fourth proportional to 2,142.34, 3,213.22 and 582.45 is: 873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.34 : 3,213.22 = 582.45 : x
  2. Step 2: Convert to fraction form
    2,142.34/3,213.22 = 582.45/x
  3. Step 3: Cross multiply
    2,142.34x = 3,213.22 × 582.45
  4. Step 4: Simplify right side
    2,142.34x = 1,871,539.99
  5. Step 5: Solve for x
    x = 1,871,539.99/2,142.34
  6. Step 6: Final answer
    x = 873.60

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1.5x scale

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.