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Finding the Fourth Proportional to 2,738.62, 3,780.48 and 1,856.98

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Solution

The fourth proportional to 2,738.62, 3,780.48 and 1,856.98 is: 2,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.62 : 3,780.48 = 1,856.98 : x
  2. Step 2: Convert to fraction form
    2,738.62/3,780.48 = 1,856.98/x
  3. Step 3: Cross multiply
    2,738.62x = 3,780.48 × 1,856.98
  4. Step 4: Simplify right side
    2,738.62x = 7,020,275.75
  5. Step 5: Solve for x
    x = 7,020,275.75/2,738.62
  6. Step 6: Final answer
    x = 2,563.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.