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Finding the Fourth Proportional to 2,503.20, 3,755.21 and 859.36

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Solution

The fourth proportional to 2,503.20, 3,755.21 and 859.36 is: 1,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.20 : 3,755.21 = 859.36 : x
  2. Step 2: Convert to fraction form
    2,503.20/3,755.21 = 859.36/x
  3. Step 3: Cross multiply
    2,503.20x = 3,755.21 × 859.36
  4. Step 4: Simplify right side
    2,503.20x = 3,227,075.46
  5. Step 5: Solve for x
    x = 3,227,075.46/2,503.20
  6. Step 6: Final answer
    x = 1,289.18

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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.