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Finding the Fourth Proportional to 1,928.90, 2,661.90 and 1,486.01

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Solution

The fourth proportional to 1,928.90, 2,661.90 and 1,486.01 is: 2,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.90 : 2,661.90 = 1,486.01 : x
  2. Step 2: Convert to fraction form
    1,928.90/2,661.90 = 1,486.01/x
  3. Step 3: Cross multiply
    1,928.90x = 2,661.90 × 1,486.01
  4. Step 4: Simplify right side
    1,928.90x = 3,955,610.02
  5. Step 5: Solve for x
    x = 3,955,610.02/1,928.90
  6. Step 6: Final answer
    x = 2,050.71

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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.