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Finding the Fourth Proportional to 1,765.36, 2,647.02 and 1,505.52

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Solution

The fourth proportional to 1,765.36, 2,647.02 and 1,505.52 is: 2,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.36 : 2,647.02 = 1,505.52 : x
  2. Step 2: Convert to fraction form
    1,765.36/2,647.02 = 1,505.52/x
  3. Step 3: Cross multiply
    1,765.36x = 2,647.02 × 1,505.52
  4. Step 4: Simplify right side
    1,765.36x = 3,985,141.55
  5. Step 5: Solve for x
    x = 3,985,141.55/1,765.36
  6. Step 6: Final answer
    x = 2,257.41

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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.