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Finding the Fourth Proportional to 2,560.54, 3,840.54 and 828.76

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Solution

The fourth proportional to 2,560.54, 3,840.54 and 828.76 is: 1,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.54 : 3,840.54 = 828.76 : x
  2. Step 2: Convert to fraction form
    2,560.54/3,840.54 = 828.76/x
  3. Step 3: Cross multiply
    2,560.54x = 3,840.54 × 828.76
  4. Step 4: Simplify right side
    2,560.54x = 3,182,885.93
  5. Step 5: Solve for x
    x = 3,182,885.93/2,560.54
  6. Step 6: Final answer
    x = 1,243.05

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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.