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Finding the Fourth Proportional to 2,560.32, 3,840.36 and 829.08

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Solution

The fourth proportional to 2,560.32, 3,840.36 and 829.08 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.32 : 3,840.36 = 829.08 : x
  2. Step 2: Convert to fraction form
    2,560.32/3,840.36 = 829.08/x
  3. Step 3: Cross multiply
    2,560.32x = 3,840.36 × 829.08
  4. Step 4: Simplify right side
    2,560.32x = 3,183,965.67
  5. Step 5: Solve for x
    x = 3,183,965.67/2,560.32
  6. Step 6: Final answer
    x = 1,243.58

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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.