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Finding the Fourth Proportional to 1,888.02, 2,601.03 and 1,327.50

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Solution

The fourth proportional to 1,888.02, 2,601.03 and 1,327.50 is: 1,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.02 : 2,601.03 = 1,327.50 : x
  2. Step 2: Convert to fraction form
    1,888.02/2,601.03 = 1,327.50/x
  3. Step 3: Cross multiply
    1,888.02x = 2,601.03 × 1,327.50
  4. Step 4: Simplify right side
    1,888.02x = 3,452,867.33
  5. Step 5: Solve for x
    x = 3,452,867.33/1,888.02
  6. Step 6: Final answer
    x = 1,828.83

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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.