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Finding the Fourth Proportional to 5,090.50, 7,024.90 and 2,882.50

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Solution

The fourth proportional to 5,090.50, 7,024.90 and 2,882.50 is: 3,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.50 : 7,024.90 = 2,882.50 : x
  2. Step 2: Convert to fraction form
    5,090.50/7,024.90 = 2,882.50/x
  3. Step 3: Cross multiply
    5,090.50x = 7,024.90 × 2,882.50
  4. Step 4: Simplify right side
    5,090.50x = 20,249,274.25
  5. Step 5: Solve for x
    x = 20,249,274.25/5,090.50
  6. Step 6: Final answer
    x = 3,977.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.