Home / 2,147.81-3,221.11-977.16

Finding the Fourth Proportional to 2,147.81, 3,221.11 and 977.16

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Solution

The fourth proportional to 2,147.81, 3,221.11 and 977.16 is: 1,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.81 : 3,221.11 = 977.16 : x
  2. Step 2: Convert to fraction form
    2,147.81/3,221.11 = 977.16/x
  3. Step 3: Cross multiply
    2,147.81x = 3,221.11 × 977.16
  4. Step 4: Simplify right side
    2,147.81x = 3,147,537.40
  5. Step 5: Solve for x
    x = 3,147,537.40/2,147.81
  6. Step 6: Final answer
    x = 1,465.46

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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.