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Finding the Fourth Proportional to 3,553.46, 4,903.80 and 1,981.64

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Solution

The fourth proportional to 3,553.46, 4,903.80 and 1,981.64 is: 2,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.46 : 4,903.80 = 1,981.64 : x
  2. Step 2: Convert to fraction form
    3,553.46/4,903.80 = 1,981.64/x
  3. Step 3: Cross multiply
    3,553.46x = 4,903.80 × 1,981.64
  4. Step 4: Simplify right side
    3,553.46x = 9,717,566.23
  5. Step 5: Solve for x
    x = 9,717,566.23/3,553.46
  6. Step 6: Final answer
    x = 2,734.68

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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.