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Finding the Fourth Proportional to 9,997.64, 13,787.82 and 6,457.12

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Solution

The fourth proportional to 9,997.64, 13,787.82 and 6,457.12 is: 8,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.64 : 13,787.82 = 6,457.12 : x
  2. Step 2: Convert to fraction form
    9,997.64/13,787.82 = 6,457.12/x
  3. Step 3: Cross multiply
    9,997.64x = 13,787.82 × 6,457.12
  4. Step 4: Simplify right side
    9,997.64x = 89,029,608.28
  5. Step 5: Solve for x
    x = 89,029,608.28/9,997.64
  6. Step 6: Final answer
    x = 8,905.06

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Double scale
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Similar ratio
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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.