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Finding the Fourth Proportional to 2,138.04, 3,206.70 and 578.12

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Solution

The fourth proportional to 2,138.04, 3,206.70 and 578.12 is: 867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.04 : 3,206.70 = 578.12 : x
  2. Step 2: Convert to fraction form
    2,138.04/3,206.70 = 578.12/x
  3. Step 3: Cross multiply
    2,138.04x = 3,206.70 × 578.12
  4. Step 4: Simplify right side
    2,138.04x = 1,853,857.40
  5. Step 5: Solve for x
    x = 1,853,857.40/2,138.04
  6. Step 6: Final answer
    x = 867.08

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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.