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Finding the Fourth Proportional to 2,845.68, 4,268.72 and 898.03

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Solution

The fourth proportional to 2,845.68, 4,268.72 and 898.03 is: 1,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.68 : 4,268.72 = 898.03 : x
  2. Step 2: Convert to fraction form
    2,845.68/4,268.72 = 898.03/x
  3. Step 3: Cross multiply
    2,845.68x = 4,268.72 × 898.03
  4. Step 4: Simplify right side
    2,845.68x = 3,833,438.62
  5. Step 5: Solve for x
    x = 3,833,438.62/2,845.68
  6. Step 6: Final answer
    x = 1,347.11

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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.