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Finding the Fourth Proportional to 2,157.81, 3,237.93 and 925.11

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Solution

The fourth proportional to 2,157.81, 3,237.93 and 925.11 is: 1,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.81 : 3,237.93 = 925.11 : x
  2. Step 2: Convert to fraction form
    2,157.81/3,237.93 = 925.11/x
  3. Step 3: Cross multiply
    2,157.81x = 3,237.93 × 925.11
  4. Step 4: Simplify right side
    2,157.81x = 2,995,441.42
  5. Step 5: Solve for x
    x = 2,995,441.42/2,157.81
  6. Step 6: Final answer
    x = 1,388.19

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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.