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Finding the Fourth Proportional to 1,781.84, 2,671.14 and 1,203.50

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Solution

The fourth proportional to 1,781.84, 2,671.14 and 1,203.50 is: 1,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.84 : 2,671.14 = 1,203.50 : x
  2. Step 2: Convert to fraction form
    1,781.84/2,671.14 = 1,203.50/x
  3. Step 3: Cross multiply
    1,781.84x = 2,671.14 × 1,203.50
  4. Step 4: Simplify right side
    1,781.84x = 3,214,716.99
  5. Step 5: Solve for x
    x = 3,214,716.99/1,781.84
  6. Step 6: Final answer
    x = 1,804.16

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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.