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Finding the Fourth Proportional to 8,420.90, 12,623.09 and 7,174.31

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Solution

The fourth proportional to 8,420.90, 12,623.09 and 7,174.31 is: 10,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.90 : 12,623.09 = 7,174.31 : x
  2. Step 2: Convert to fraction form
    8,420.90/12,623.09 = 7,174.31/x
  3. Step 3: Cross multiply
    8,420.90x = 12,623.09 × 7,174.31
  4. Step 4: Simplify right side
    8,420.90x = 90,561,960.82
  5. Step 5: Solve for x
    x = 90,561,960.82/8,420.90
  6. Step 6: Final answer
    x = 10,754.43

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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.