Home / 2,143.28-3,214.96-973.04

Finding the Fourth Proportional to 2,143.28, 3,214.96 and 973.04

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Solution

The fourth proportional to 2,143.28, 3,214.96 and 973.04 is: 1,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.28 : 3,214.96 = 973.04 : x
  2. Step 2: Convert to fraction form
    2,143.28/3,214.96 = 973.04/x
  3. Step 3: Cross multiply
    2,143.28x = 3,214.96 × 973.04
  4. Step 4: Simplify right side
    2,143.28x = 3,128,284.68
  5. Step 5: Solve for x
    x = 3,128,284.68/2,143.28
  6. Step 6: Final answer
    x = 1,459.58

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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.