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Finding the Fourth Proportional to 1,491.12, 2,236.86 and 841.86

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Solution

The fourth proportional to 1,491.12, 2,236.86 and 841.86 is: 1,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.12 : 2,236.86 = 841.86 : x
  2. Step 2: Convert to fraction form
    1,491.12/2,236.86 = 841.86/x
  3. Step 3: Cross multiply
    1,491.12x = 2,236.86 × 841.86
  4. Step 4: Simplify right side
    1,491.12x = 1,883,122.96
  5. Step 5: Solve for x
    x = 1,883,122.96/1,491.12
  6. Step 6: Final answer
    x = 1,262.89

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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.