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Finding the Fourth Proportional to 3,090.80, 4,636.16 and 750.83

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Solution

The fourth proportional to 3,090.80, 4,636.16 and 750.83 is: 1,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.80 : 4,636.16 = 750.83 : x
  2. Step 2: Convert to fraction form
    3,090.80/4,636.16 = 750.83/x
  3. Step 3: Cross multiply
    3,090.80x = 4,636.16 × 750.83
  4. Step 4: Simplify right side
    3,090.80x = 3,480,961.28
  5. Step 5: Solve for x
    x = 3,480,961.28/3,090.80
  6. Step 6: Final answer
    x = 1,126.23

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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.