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Finding the Fourth Proportional to 21,174.62, 31,762.06 and 6,383.48

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Solution

The fourth proportional to 21,174.62, 31,762.06 and 6,383.48 is: 9,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.62 : 31,762.06 = 6,383.48 : x
  2. Step 2: Convert to fraction form
    21,174.62/31,762.06 = 6,383.48/x
  3. Step 3: Cross multiply
    21,174.62x = 31,762.06 × 6,383.48
  4. Step 4: Simplify right side
    21,174.62x = 202,752,300.00
  5. Step 5: Solve for x
    x = 202,752,300.00/21,174.62
  6. Step 6: Final answer
    x = 9,575.25

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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.