Home / 2,138.16-3,214.56-1,977.84

Finding the Fourth Proportional to 2,138.16, 3,214.56 and 1,977.84

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Solution

The fourth proportional to 2,138.16, 3,214.56 and 1,977.84 is: 2,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.16 : 3,214.56 = 1,977.84 : x
  2. Step 2: Convert to fraction form
    2,138.16/3,214.56 = 1,977.84/x
  3. Step 3: Cross multiply
    2,138.16x = 3,214.56 × 1,977.84
  4. Step 4: Simplify right side
    2,138.16x = 6,357,885.35
  5. Step 5: Solve for x
    x = 6,357,885.35/2,138.16
  6. Step 6: Final answer
    x = 2,973.53

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1.5x scale

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.