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Finding the Fourth Proportional to 2,085.68, 3,128.56 and 546.68

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Solution

The fourth proportional to 2,085.68, 3,128.56 and 546.68 is: 820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.68 : 3,128.56 = 546.68 : x
  2. Step 2: Convert to fraction form
    2,085.68/3,128.56 = 546.68/x
  3. Step 3: Cross multiply
    2,085.68x = 3,128.56 × 546.68
  4. Step 4: Simplify right side
    2,085.68x = 1,710,321.18
  5. Step 5: Solve for x
    x = 1,710,321.18/2,085.68
  6. Step 6: Final answer
    x = 820.03

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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.