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Finding the Fourth Proportional to 3,397.70, 4,688.71 and 1,905.86

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Solution

The fourth proportional to 3,397.70, 4,688.71 and 1,905.86 is: 2,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.70 : 4,688.71 = 1,905.86 : x
  2. Step 2: Convert to fraction form
    3,397.70/4,688.71 = 1,905.86/x
  3. Step 3: Cross multiply
    3,397.70x = 4,688.71 × 1,905.86
  4. Step 4: Simplify right side
    3,397.70x = 8,936,024.84
  5. Step 5: Solve for x
    x = 8,936,024.84/3,397.70
  6. Step 6: Final answer
    x = 2,630.02

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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.