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Finding the Fourth Proportional to 2,126.88, 3,171.24 and 2,088

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Solution

The fourth proportional to 2,126.88, 3,171.24 and 2,088 is: 3,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.88 : 3,171.24 = 2,088 : x
  2. Step 2: Convert to fraction form
    2,126.88/3,171.24 = 2,088/x
  3. Step 3: Cross multiply
    2,126.88x = 3,171.24 × 2,088
  4. Step 4: Simplify right side
    2,126.88x = 6,621,549.12
  5. Step 5: Solve for x
    x = 6,621,549.12/2,126.88
  6. Step 6: Final answer
    x = 3,113.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.