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Finding the Fourth Proportional to 11,962.40, 16,505.04 and 7,245.76

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Solution

The fourth proportional to 11,962.40, 16,505.04 and 7,245.76 is: 9,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.40 : 16,505.04 = 7,245.76 : x
  2. Step 2: Convert to fraction form
    11,962.40/16,505.04 = 7,245.76/x
  3. Step 3: Cross multiply
    11,962.40x = 16,505.04 × 7,245.76
  4. Step 4: Simplify right side
    11,962.40x = 119,591,558.63
  5. Step 5: Solve for x
    x = 119,591,558.63/11,962.40
  6. Step 6: Final answer
    x = 9,997.29

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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.