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Finding the Fourth Proportional to 1,648.00, 2,469.77 and 1,542.90

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Solution

The fourth proportional to 1,648.00, 2,469.77 and 1,542.90 is: 2,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.00 : 2,469.77 = 1,542.90 : x
  2. Step 2: Convert to fraction form
    1,648.00/2,469.77 = 1,542.90/x
  3. Step 3: Cross multiply
    1,648.00x = 2,469.77 × 1,542.90
  4. Step 4: Simplify right side
    1,648.00x = 3,810,588.07
  5. Step 5: Solve for x
    x = 3,810,588.07/1,648.00
  6. Step 6: Final answer
    x = 2,312.26

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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.