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Finding the Fourth Proportional to 1,415.44, 2,123.10 and 841.96

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Solution

The fourth proportional to 1,415.44, 2,123.10 and 841.96 is: 1,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.44 : 2,123.10 = 841.96 : x
  2. Step 2: Convert to fraction form
    1,415.44/2,123.10 = 841.96/x
  3. Step 3: Cross multiply
    1,415.44x = 2,123.10 × 841.96
  4. Step 4: Simplify right side
    1,415.44x = 1,787,565.28
  5. Step 5: Solve for x
    x = 1,787,565.28/1,415.44
  6. Step 6: Final answer
    x = 1,262.90

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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.