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Finding the Fourth Proportional to 2,090.07, 3,135.09 and 551.07

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Solution

The fourth proportional to 2,090.07, 3,135.09 and 551.07 is: 826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.07 : 3,135.09 = 551.07 : x
  2. Step 2: Convert to fraction form
    2,090.07/3,135.09 = 551.07/x
  3. Step 3: Cross multiply
    2,090.07x = 3,135.09 × 551.07
  4. Step 4: Simplify right side
    2,090.07x = 1,727,654.05
  5. Step 5: Solve for x
    x = 1,727,654.05/2,090.07
  6. Step 6: Final answer
    x = 826.60

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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.