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Finding the Fourth Proportional to 5,090.52, 7,636.08 and 1,627.50

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Solution

The fourth proportional to 5,090.52, 7,636.08 and 1,627.50 is: 2,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.52 : 7,636.08 = 1,627.50 : x
  2. Step 2: Convert to fraction form
    5,090.52/7,636.08 = 1,627.50/x
  3. Step 3: Cross multiply
    5,090.52x = 7,636.08 × 1,627.50
  4. Step 4: Simplify right side
    5,090.52x = 12,427,720.20
  5. Step 5: Solve for x
    x = 12,427,720.20/5,090.52
  6. Step 6: Final answer
    x = 2,441.35

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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.