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Finding the Fourth Proportional to 2,085.78, 3,128.67 and 525.78

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Solution

The fourth proportional to 2,085.78, 3,128.67 and 525.78 is: 788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.78 : 3,128.67 = 525.78 : x
  2. Step 2: Convert to fraction form
    2,085.78/3,128.67 = 525.78/x
  3. Step 3: Cross multiply
    2,085.78x = 3,128.67 × 525.78
  4. Step 4: Simplify right side
    2,085.78x = 1,644,992.11
  5. Step 5: Solve for x
    x = 1,644,992.11/2,085.78
  6. Step 6: Final answer
    x = 788.67

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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.