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Finding the Fourth Proportional to 2,017, 2,783.43 and 1,132.78

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Solution

The fourth proportional to 2,017, 2,783.43 and 1,132.78 is: 1,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017 : 2,783.43 = 1,132.78 : x
  2. Step 2: Convert to fraction form
    2,017/2,783.43 = 1,132.78/x
  3. Step 3: Cross multiply
    2,017x = 2,783.43 × 1,132.78
  4. Step 4: Simplify right side
    2,017x = 3,153,013.84
  5. Step 5: Solve for x
    x = 3,153,013.84/2,017
  6. Step 6: Final answer
    x = 1,563.22

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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.