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Finding the Fourth Proportional to 3,528.70, 5,291.34 and 1,306

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Solution

The fourth proportional to 3,528.70, 5,291.34 and 1,306 is: 1,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.70 : 5,291.34 = 1,306 : x
  2. Step 2: Convert to fraction form
    3,528.70/5,291.34 = 1,306/x
  3. Step 3: Cross multiply
    3,528.70x = 5,291.34 × 1,306
  4. Step 4: Simplify right side
    3,528.70x = 6,910,490.04
  5. Step 5: Solve for x
    x = 6,910,490.04/3,528.70
  6. Step 6: Final answer
    x = 1,958.37

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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.