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Finding the Fourth Proportional to 2,857.76, 4,291.29 and 1,769.06

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Solution

The fourth proportional to 2,857.76, 4,291.29 and 1,769.06 is: 2,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.76 : 4,291.29 = 1,769.06 : x
  2. Step 2: Convert to fraction form
    2,857.76/4,291.29 = 1,769.06/x
  3. Step 3: Cross multiply
    2,857.76x = 4,291.29 × 1,769.06
  4. Step 4: Simplify right side
    2,857.76x = 7,591,549.49
  5. Step 5: Solve for x
    x = 7,591,549.49/2,857.76
  6. Step 6: Final answer
    x = 2,656.47

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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.