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Finding the Fourth Proportional to 4,138.72, 6,210.72 and 1,947.36

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Solution

The fourth proportional to 4,138.72, 6,210.72 and 1,947.36 is: 2,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.72 : 6,210.72 = 1,947.36 : x
  2. Step 2: Convert to fraction form
    4,138.72/6,210.72 = 1,947.36/x
  3. Step 3: Cross multiply
    4,138.72x = 6,210.72 × 1,947.36
  4. Step 4: Simplify right side
    4,138.72x = 12,094,507.70
  5. Step 5: Solve for x
    x = 12,094,507.70/4,138.72
  6. Step 6: Final answer
    x = 2,922.28

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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.