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Finding the Fourth Proportional to 1,240.10, 1,856.49 and 828.21

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Solution

The fourth proportional to 1,240.10, 1,856.49 and 828.21 is: 1,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.10 : 1,856.49 = 828.21 : x
  2. Step 2: Convert to fraction form
    1,240.10/1,856.49 = 828.21/x
  3. Step 3: Cross multiply
    1,240.10x = 1,856.49 × 828.21
  4. Step 4: Simplify right side
    1,240.10x = 1,537,563.58
  5. Step 5: Solve for x
    x = 1,537,563.58/1,240.10
  6. Step 6: Final answer
    x = 1,239.88

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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.