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Finding the Fourth Proportional to 3,526.32, 5,289.64 and 1,965.14

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Solution

The fourth proportional to 3,526.32, 5,289.64 and 1,965.14 is: 2,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.32 : 5,289.64 = 1,965.14 : x
  2. Step 2: Convert to fraction form
    3,526.32/5,289.64 = 1,965.14/x
  3. Step 3: Cross multiply
    3,526.32x = 5,289.64 × 1,965.14
  4. Step 4: Simplify right side
    3,526.32x = 10,394,891.46
  5. Step 5: Solve for x
    x = 10,394,891.46/3,526.32
  6. Step 6: Final answer
    x = 2,947.80

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1.5x scale

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.