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Finding the Fourth Proportional to 1,525.11, 2,103.54 and 993

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Solution

The fourth proportional to 1,525.11, 2,103.54 and 993 is: 1,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.11 : 2,103.54 = 993 : x
  2. Step 2: Convert to fraction form
    1,525.11/2,103.54 = 993/x
  3. Step 3: Cross multiply
    1,525.11x = 2,103.54 × 993
  4. Step 4: Simplify right side
    1,525.11x = 2,088,815.22
  5. Step 5: Solve for x
    x = 2,088,815.22/1,525.11
  6. Step 6: Final answer
    x = 1,369.62

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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.