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Finding the Fourth Proportional to 2,138.40, 3,094.20 and 2,138.40

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Solution

The fourth proportional to 2,138.40, 3,094.20 and 2,138.40 is: 3,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 3,094.20 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    2,138.40/3,094.20 = 2,138.40/x
  3. Step 3: Cross multiply
    2,138.40x = 3,094.20 × 2,138.40
  4. Step 4: Simplify right side
    2,138.40x = 6,616,637.28
  5. Step 5: Solve for x
    x = 6,616,637.28/2,138.40
  6. Step 6: Final answer
    x = 3,094.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.