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Finding the Fourth Proportional to 3,385.71, 4,672.53 and 1,894.11

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Solution

The fourth proportional to 3,385.71, 4,672.53 and 1,894.11 is: 2,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.71 : 4,672.53 = 1,894.11 : x
  2. Step 2: Convert to fraction form
    3,385.71/4,672.53 = 1,894.11/x
  3. Step 3: Cross multiply
    3,385.71x = 4,672.53 × 1,894.11
  4. Step 4: Simplify right side
    3,385.71x = 8,850,289.94
  5. Step 5: Solve for x
    x = 8,850,289.94/3,385.71
  6. Step 6: Final answer
    x = 2,614.01

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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.