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Finding the Fourth Proportional to 2,571.72, 3,857.60 and 623.93

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Solution

The fourth proportional to 2,571.72, 3,857.60 and 623.93 is: 935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.72 : 3,857.60 = 623.93 : x
  2. Step 2: Convert to fraction form
    2,571.72/3,857.60 = 623.93/x
  3. Step 3: Cross multiply
    2,571.72x = 3,857.60 × 623.93
  4. Step 4: Simplify right side
    2,571.72x = 2,406,849.96
  5. Step 5: Solve for x
    x = 2,406,849.96/2,571.72
  6. Step 6: Final answer
    x = 935.89

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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.