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Finding the Fourth Proportional to 1,706.13, 2,353.78 and 1,076.42

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Solution

The fourth proportional to 1,706.13, 2,353.78 and 1,076.42 is: 1,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.13 : 2,353.78 = 1,076.42 : x
  2. Step 2: Convert to fraction form
    1,706.13/2,353.78 = 1,076.42/x
  3. Step 3: Cross multiply
    1,706.13x = 2,353.78 × 1,076.42
  4. Step 4: Simplify right side
    1,706.13x = 2,533,655.87
  5. Step 5: Solve for x
    x = 2,533,655.87/1,706.13
  6. Step 6: Final answer
    x = 1,485.03

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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.