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Finding the Fourth Proportional to 12,697.20, 17,523.70 and 7,664.30

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Solution

The fourth proportional to 12,697.20, 17,523.70 and 7,664.30 is: 10,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.20 : 17,523.70 = 7,664.30 : x
  2. Step 2: Convert to fraction form
    12,697.20/17,523.70 = 7,664.30/x
  3. Step 3: Cross multiply
    12,697.20x = 17,523.70 × 7,664.30
  4. Step 4: Simplify right side
    12,697.20x = 134,306,893.91
  5. Step 5: Solve for x
    x = 134,306,893.91/12,697.20
  6. Step 6: Final answer
    x = 10,577.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.