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Finding the Fourth Proportional to 2,696.59, 4,045.46 and 847.89

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Solution

The fourth proportional to 2,696.59, 4,045.46 and 847.89 is: 1,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.59 : 4,045.46 = 847.89 : x
  2. Step 2: Convert to fraction form
    2,696.59/4,045.46 = 847.89/x
  3. Step 3: Cross multiply
    2,696.59x = 4,045.46 × 847.89
  4. Step 4: Simplify right side
    2,696.59x = 3,430,105.08
  5. Step 5: Solve for x
    x = 3,430,105.08/2,696.59
  6. Step 6: Final answer
    x = 1,272.02

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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.