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Finding the Fourth Proportional to 3,085.83, 4,627.79 and 894.72

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Solution

The fourth proportional to 3,085.83, 4,627.79 and 894.72 is: 1,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.83 : 4,627.79 = 894.72 : x
  2. Step 2: Convert to fraction form
    3,085.83/4,627.79 = 894.72/x
  3. Step 3: Cross multiply
    3,085.83x = 4,627.79 × 894.72
  4. Step 4: Simplify right side
    3,085.83x = 4,140,548.66
  5. Step 5: Solve for x
    x = 4,140,548.66/3,085.83
  6. Step 6: Final answer
    x = 1,341.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.