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Finding the Fourth Proportional to 5,174.78, 7,762.43 and 1,477.55

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Solution

The fourth proportional to 5,174.78, 7,762.43 and 1,477.55 is: 2,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.78 : 7,762.43 = 1,477.55 : x
  2. Step 2: Convert to fraction form
    5,174.78/7,762.43 = 1,477.55/x
  3. Step 3: Cross multiply
    5,174.78x = 7,762.43 × 1,477.55
  4. Step 4: Simplify right side
    5,174.78x = 11,469,332.25
  5. Step 5: Solve for x
    x = 11,469,332.25/5,174.78
  6. Step 6: Final answer
    x = 2,216.39

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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.