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Finding the Fourth Proportional to 2,780.93, 3,840.86 and 1,895.20

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Solution

The fourth proportional to 2,780.93, 3,840.86 and 1,895.20 is: 2,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.93 : 3,840.86 = 1,895.20 : x
  2. Step 2: Convert to fraction form
    2,780.93/3,840.86 = 1,895.20/x
  3. Step 3: Cross multiply
    2,780.93x = 3,840.86 × 1,895.20
  4. Step 4: Simplify right side
    2,780.93x = 7,279,193.01
  5. Step 5: Solve for x
    x = 7,279,193.01/2,780.93
  6. Step 6: Final answer
    x = 2,617.54

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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.