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Finding the Fourth Proportional to 1,765.63, 2,649.21 and 841.18

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Solution

The fourth proportional to 1,765.63, 2,649.21 and 841.18 is: 1,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.63 : 2,649.21 = 841.18 : x
  2. Step 2: Convert to fraction form
    1,765.63/2,649.21 = 841.18/x
  3. Step 3: Cross multiply
    1,765.63x = 2,649.21 × 841.18
  4. Step 4: Simplify right side
    1,765.63x = 2,228,462.47
  5. Step 5: Solve for x
    x = 2,228,462.47/1,765.63
  6. Step 6: Final answer
    x = 1,262.13

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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.