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Finding the Fourth Proportional to 13,175, 19,762.52 and 5,383.80

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Solution

The fourth proportional to 13,175, 19,762.52 and 5,383.80 is: 8,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175 : 19,762.52 = 5,383.80 : x
  2. Step 2: Convert to fraction form
    13,175/19,762.52 = 5,383.80/x
  3. Step 3: Cross multiply
    13,175x = 19,762.52 × 5,383.80
  4. Step 4: Simplify right side
    13,175x = 106,397,455.18
  5. Step 5: Solve for x
    x = 106,397,455.18/13,175
  6. Step 6: Final answer
    x = 8,075.71

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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.