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Finding the Fourth Proportional to 5,090.79, 7,640.07 and 2,280.49

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Solution

The fourth proportional to 5,090.79, 7,640.07 and 2,280.49 is: 3,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.79 : 7,640.07 = 2,280.49 : x
  2. Step 2: Convert to fraction form
    5,090.79/7,640.07 = 2,280.49/x
  3. Step 3: Cross multiply
    5,090.79x = 7,640.07 × 2,280.49
  4. Step 4: Simplify right side
    5,090.79x = 17,423,103.23
  5. Step 5: Solve for x
    x = 17,423,103.23/5,090.79
  6. Step 6: Final answer
    x = 3,422.48

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1.5x scale

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.