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Finding the Fourth Proportional to 4,203.42, 6,304.74 and 1,981.74

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Solution

The fourth proportional to 4,203.42, 6,304.74 and 1,981.74 is: 2,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.42 : 6,304.74 = 1,981.74 : x
  2. Step 2: Convert to fraction form
    4,203.42/6,304.74 = 1,981.74/x
  3. Step 3: Cross multiply
    4,203.42x = 6,304.74 × 1,981.74
  4. Step 4: Simplify right side
    4,203.42x = 12,494,355.45
  5. Step 5: Solve for x
    x = 12,494,355.45/4,203.42
  6. Step 6: Final answer
    x = 2,972.43

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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.