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Finding the Fourth Proportional to 3,165.70, 4,750.47 and 1,434.34

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Solution

The fourth proportional to 3,165.70, 4,750.47 and 1,434.34 is: 2,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.70 : 4,750.47 = 1,434.34 : x
  2. Step 2: Convert to fraction form
    3,165.70/4,750.47 = 1,434.34/x
  3. Step 3: Cross multiply
    3,165.70x = 4,750.47 × 1,434.34
  4. Step 4: Simplify right side
    3,165.70x = 6,813,789.14
  5. Step 5: Solve for x
    x = 6,813,789.14/3,165.70
  6. Step 6: Final answer
    x = 2,152.38

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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.