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Finding the Fourth Proportional to 2,127.76, 3,191.86 and 588.76

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Solution

The fourth proportional to 2,127.76, 3,191.86 and 588.76 is: 883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.76 : 3,191.86 = 588.76 : x
  2. Step 2: Convert to fraction form
    2,127.76/3,191.86 = 588.76/x
  3. Step 3: Cross multiply
    2,127.76x = 3,191.86 × 588.76
  4. Step 4: Simplify right side
    2,127.76x = 1,879,239.49
  5. Step 5: Solve for x
    x = 1,879,239.49/2,127.76
  6. Step 6: Final answer
    x = 883.20

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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.