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Finding the Fourth Proportional to 2,085.95, 3,128.72 and 546.95

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Solution

The fourth proportional to 2,085.95, 3,128.72 and 546.95 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.95 : 3,128.72 = 546.95 : x
  2. Step 2: Convert to fraction form
    2,085.95/3,128.72 = 546.95/x
  3. Step 3: Cross multiply
    2,085.95x = 3,128.72 × 546.95
  4. Step 4: Simplify right side
    2,085.95x = 1,711,253.40
  5. Step 5: Solve for x
    x = 1,711,253.40/2,085.95
  6. Step 6: Final answer
    x = 820.37

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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.