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Finding the Fourth Proportional to 2,503.52, 3,754.08 and 859.64

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Solution

The fourth proportional to 2,503.52, 3,754.08 and 859.64 is: 1,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.52 : 3,754.08 = 859.64 : x
  2. Step 2: Convert to fraction form
    2,503.52/3,754.08 = 859.64/x
  3. Step 3: Cross multiply
    2,503.52x = 3,754.08 × 859.64
  4. Step 4: Simplify right side
    2,503.52x = 3,227,157.33
  5. Step 5: Solve for x
    x = 3,227,157.33/2,503.52
  6. Step 6: Final answer
    x = 1,289.05

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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.