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Finding the Fourth Proportional to 3,617.68, 5,428.68 and 1,537.60

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Solution

The fourth proportional to 3,617.68, 5,428.68 and 1,537.60 is: 2,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.68 : 5,428.68 = 1,537.60 : x
  2. Step 2: Convert to fraction form
    3,617.68/5,428.68 = 1,537.60/x
  3. Step 3: Cross multiply
    3,617.68x = 5,428.68 × 1,537.60
  4. Step 4: Simplify right side
    3,617.68x = 8,347,138.37
  5. Step 5: Solve for x
    x = 8,347,138.37/3,617.68
  6. Step 6: Final answer
    x = 2,307.32

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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.