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Finding the Fourth Proportional to 1,417.44, 1,956.08 and 828.10

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Solution

The fourth proportional to 1,417.44, 1,956.08 and 828.10 is: 1,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.44 : 1,956.08 = 828.10 : x
  2. Step 2: Convert to fraction form
    1,417.44/1,956.08 = 828.10/x
  3. Step 3: Cross multiply
    1,417.44x = 1,956.08 × 828.10
  4. Step 4: Simplify right side
    1,417.44x = 1,619,815.93
  5. Step 5: Solve for x
    x = 1,619,815.93/1,417.44
  6. Step 6: Final answer
    x = 1,142.78

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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.