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Finding the Fourth Proportional to 2,085.62, 3,128.36 and 546.62

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Solution

The fourth proportional to 2,085.62, 3,128.36 and 546.62 is: 819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.62 : 3,128.36 = 546.62 : x
  2. Step 2: Convert to fraction form
    2,085.62/3,128.36 = 546.62/x
  3. Step 3: Cross multiply
    2,085.62x = 3,128.36 × 546.62
  4. Step 4: Simplify right side
    2,085.62x = 1,710,024.14
  5. Step 5: Solve for x
    x = 1,710,024.14/2,085.62
  6. Step 6: Final answer
    x = 819.91

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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.