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Finding the Fourth Proportional to 2,090.52, 3,135.24 and 703.80

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Solution

The fourth proportional to 2,090.52, 3,135.24 and 703.80 is: 1,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.52 : 3,135.24 = 703.80 : x
  2. Step 2: Convert to fraction form
    2,090.52/3,135.24 = 703.80/x
  3. Step 3: Cross multiply
    2,090.52x = 3,135.24 × 703.80
  4. Step 4: Simplify right side
    2,090.52x = 2,206,581.91
  5. Step 5: Solve for x
    x = 2,206,581.91/2,090.52
  6. Step 6: Final answer
    x = 1,055.52

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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.