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Finding the Fourth Proportional to 2,365.16, 3,545 and 2,091.80

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Solution

The fourth proportional to 2,365.16, 3,545 and 2,091.80 is: 3,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.16 : 3,545 = 2,091.80 : x
  2. Step 2: Convert to fraction form
    2,365.16/3,545 = 2,091.80/x
  3. Step 3: Cross multiply
    2,365.16x = 3,545 × 2,091.80
  4. Step 4: Simplify right side
    2,365.16x = 7,415,431.00
  5. Step 5: Solve for x
    x = 7,415,431.00/2,365.16
  6. Step 6: Final answer
    x = 3,135.28

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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.