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Finding the Fourth Proportional to 3,536.87, 5,305.30 and 1,071.70

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Solution

The fourth proportional to 3,536.87, 5,305.30 and 1,071.70 is: 1,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.87 : 5,305.30 = 1,071.70 : x
  2. Step 2: Convert to fraction form
    3,536.87/5,305.30 = 1,071.70/x
  3. Step 3: Cross multiply
    3,536.87x = 5,305.30 × 1,071.70
  4. Step 4: Simplify right side
    3,536.87x = 5,685,674.07
  5. Step 5: Solve for x
    x = 5,685,674.07/3,536.87
  6. Step 6: Final answer
    x = 1,607.55

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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.