Home / 2,138.04-3,206.84-577.94

Finding the Fourth Proportional to 2,138.04, 3,206.84 and 577.94

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Solution

The fourth proportional to 2,138.04, 3,206.84 and 577.94 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.04 : 3,206.84 = 577.94 : x
  2. Step 2: Convert to fraction form
    2,138.04/3,206.84 = 577.94/x
  3. Step 3: Cross multiply
    2,138.04x = 3,206.84 × 577.94
  4. Step 4: Simplify right side
    2,138.04x = 1,853,342.19
  5. Step 5: Solve for x
    x = 1,853,342.19/2,138.04
  6. Step 6: Final answer
    x = 866.84

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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.