Home / 2,125.90-3,189.39-971.38

Finding the Fourth Proportional to 2,125.90, 3,189.39 and 971.38

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Solution

The fourth proportional to 2,125.90, 3,189.39 and 971.38 is: 1,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.90 : 3,189.39 = 971.38 : x
  2. Step 2: Convert to fraction form
    2,125.90/3,189.39 = 971.38/x
  3. Step 3: Cross multiply
    2,125.90x = 3,189.39 × 971.38
  4. Step 4: Simplify right side
    2,125.90x = 3,098,088.85
  5. Step 5: Solve for x
    x = 3,098,088.85/2,125.90
  6. Step 6: Final answer
    x = 1,457.31

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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.