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Finding the Fourth Proportional to 1,871.13, 2,803.50 and 1,048.89

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Solution

The fourth proportional to 1,871.13, 2,803.50 and 1,048.89 is: 1,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.13 : 2,803.50 = 1,048.89 : x
  2. Step 2: Convert to fraction form
    1,871.13/2,803.50 = 1,048.89/x
  3. Step 3: Cross multiply
    1,871.13x = 2,803.50 × 1,048.89
  4. Step 4: Simplify right side
    1,871.13x = 2,940,563.12
  5. Step 5: Solve for x
    x = 2,940,563.12/1,871.13
  6. Step 6: Final answer
    x = 1,571.54

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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.