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Finding the Fourth Proportional to 2,127.39, 3,191.07 and 588.39

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Solution

The fourth proportional to 2,127.39, 3,191.07 and 588.39 is: 882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.39 : 3,191.07 = 588.39 : x
  2. Step 2: Convert to fraction form
    2,127.39/3,191.07 = 588.39/x
  3. Step 3: Cross multiply
    2,127.39x = 3,191.07 × 588.39
  4. Step 4: Simplify right side
    2,127.39x = 1,877,593.68
  5. Step 5: Solve for x
    x = 1,877,593.68/2,127.39
  6. Step 6: Final answer
    x = 882.58

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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.