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Finding the Fourth Proportional to 2,127.25, 3,191.06 and 588.25

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Solution

The fourth proportional to 2,127.25, 3,191.06 and 588.25 is: 882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.25 : 3,191.06 = 588.25 : x
  2. Step 2: Convert to fraction form
    2,127.25/3,191.06 = 588.25/x
  3. Step 3: Cross multiply
    2,127.25x = 3,191.06 × 588.25
  4. Step 4: Simplify right side
    2,127.25x = 1,877,141.05
  5. Step 5: Solve for x
    x = 1,877,141.05/2,127.25
  6. Step 6: Final answer
    x = 882.43

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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.