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Finding the Fourth Proportional to 4,138.40, 6,209.70 and 2,752.70

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Solution

The fourth proportional to 4,138.40, 6,209.70 and 2,752.70 is: 4,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.40 : 6,209.70 = 2,752.70 : x
  2. Step 2: Convert to fraction form
    4,138.40/6,209.70 = 2,752.70/x
  3. Step 3: Cross multiply
    4,138.40x = 6,209.70 × 2,752.70
  4. Step 4: Simplify right side
    4,138.40x = 17,093,441.19
  5. Step 5: Solve for x
    x = 17,093,441.19/4,138.40
  6. Step 6: Final answer
    x = 4,130.45

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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.