Home / 2,083.64-3,126.50-972.59

Finding the Fourth Proportional to 2,083.64, 3,126.50 and 972.59

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Solution

The fourth proportional to 2,083.64, 3,126.50 and 972.59 is: 1,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.64 : 3,126.50 = 972.59 : x
  2. Step 2: Convert to fraction form
    2,083.64/3,126.50 = 972.59/x
  3. Step 3: Cross multiply
    2,083.64x = 3,126.50 × 972.59
  4. Step 4: Simplify right side
    2,083.64x = 3,040,782.14
  5. Step 5: Solve for x
    x = 3,040,782.14/2,083.64
  6. Step 6: Final answer
    x = 1,459.36

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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.