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Finding the Fourth Proportional to 1,857.72, 2,563.68 and 1,029.72

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Solution

The fourth proportional to 1,857.72, 2,563.68 and 1,029.72 is: 1,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.72 : 2,563.68 = 1,029.72 : x
  2. Step 2: Convert to fraction form
    1,857.72/2,563.68 = 1,029.72/x
  3. Step 3: Cross multiply
    1,857.72x = 2,563.68 × 1,029.72
  4. Step 4: Simplify right side
    1,857.72x = 2,639,872.57
  5. Step 5: Solve for x
    x = 2,639,872.57/1,857.72
  6. Step 6: Final answer
    x = 1,421.03

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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.