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Finding the Fourth Proportional to 2,512.40, 3,769.26 and 869.01

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Solution

The fourth proportional to 2,512.40, 3,769.26 and 869.01 is: 1,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.40 : 3,769.26 = 869.01 : x
  2. Step 2: Convert to fraction form
    2,512.40/3,769.26 = 869.01/x
  3. Step 3: Cross multiply
    2,512.40x = 3,769.26 × 869.01
  4. Step 4: Simplify right side
    2,512.40x = 3,275,524.63
  5. Step 5: Solve for x
    x = 3,275,524.63/2,512.40
  6. Step 6: Final answer
    x = 1,303.75

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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.