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Finding the Fourth Proportional to 3,085.14, 4,627.80 and 893.88

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Solution

The fourth proportional to 3,085.14, 4,627.80 and 893.88 is: 1,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.14 : 4,627.80 = 893.88 : x
  2. Step 2: Convert to fraction form
    3,085.14/4,627.80 = 893.88/x
  3. Step 3: Cross multiply
    3,085.14x = 4,627.80 × 893.88
  4. Step 4: Simplify right side
    3,085.14x = 4,136,697.86
  5. Step 5: Solve for x
    x = 4,136,697.86/3,085.14
  6. Step 6: Final answer
    x = 1,340.85

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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.