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Finding the Fourth Proportional to 2,157.93, 3,237.72 and 925.65

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Solution

The fourth proportional to 2,157.93, 3,237.72 and 925.65 is: 1,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.93 : 3,237.72 = 925.65 : x
  2. Step 2: Convert to fraction form
    2,157.93/3,237.72 = 925.65/x
  3. Step 3: Cross multiply
    2,157.93x = 3,237.72 × 925.65
  4. Step 4: Simplify right side
    2,157.93x = 2,996,995.52
  5. Step 5: Solve for x
    x = 2,996,995.52/2,157.93
  6. Step 6: Final answer
    x = 1,388.83

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1.5x scale

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.