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Finding the Fourth Proportional to 2,138.60, 2,986.75 and 2,138.60

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Solution

The fourth proportional to 2,138.60, 2,986.75 and 2,138.60 is: 2,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.60 : 2,986.75 = 2,138.60 : x
  2. Step 2: Convert to fraction form
    2,138.60/2,986.75 = 2,138.60/x
  3. Step 3: Cross multiply
    2,138.60x = 2,986.75 × 2,138.60
  4. Step 4: Simplify right side
    2,138.60x = 6,387,463.55
  5. Step 5: Solve for x
    x = 6,387,463.55/2,138.60
  6. Step 6: Final answer
    x = 2,986.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.