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Finding the Fourth Proportional to 11,972.72, 16,525.04 and 7,773.68

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Solution

The fourth proportional to 11,972.72, 16,525.04 and 7,773.68 is: 10,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.72 : 16,525.04 = 7,773.68 : x
  2. Step 2: Convert to fraction form
    11,972.72/16,525.04 = 7,773.68/x
  3. Step 3: Cross multiply
    11,972.72x = 16,525.04 × 7,773.68
  4. Step 4: Simplify right side
    11,972.72x = 128,460,372.95
  5. Step 5: Solve for x
    x = 128,460,372.95/11,972.72
  6. Step 6: Final answer
    x = 10,729.42

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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.