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Finding the Fourth Proportional to 2,127.94, 3,191.91 and 588.94

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Solution

The fourth proportional to 2,127.94, 3,191.91 and 588.94 is: 883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.94 : 3,191.91 = 588.94 : x
  2. Step 2: Convert to fraction form
    2,127.94/3,191.91 = 588.94/x
  3. Step 3: Cross multiply
    2,127.94x = 3,191.91 × 588.94
  4. Step 4: Simplify right side
    2,127.94x = 1,879,833.29
  5. Step 5: Solve for x
    x = 1,879,833.29/2,127.94
  6. Step 6: Final answer
    x = 883.41

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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.