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Finding the Fourth Proportional to 2,213.46, 3,321.54 and 981.45

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Solution

The fourth proportional to 2,213.46, 3,321.54 and 981.45 is: 1,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.46 : 3,321.54 = 981.45 : x
  2. Step 2: Convert to fraction form
    2,213.46/3,321.54 = 981.45/x
  3. Step 3: Cross multiply
    2,213.46x = 3,321.54 × 981.45
  4. Step 4: Simplify right side
    2,213.46x = 3,259,925.43
  5. Step 5: Solve for x
    x = 3,259,925.43/2,213.46
  6. Step 6: Final answer
    x = 1,472.77

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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.