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Finding the Fourth Proportional to 7,997.72, 11,037 and 4,640.72

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Solution

The fourth proportional to 7,997.72, 11,037 and 4,640.72 is: 6,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.72 : 11,037 = 4,640.72 : x
  2. Step 2: Convert to fraction form
    7,997.72/11,037 = 4,640.72/x
  3. Step 3: Cross multiply
    7,997.72x = 11,037 × 4,640.72
  4. Step 4: Simplify right side
    7,997.72x = 51,219,626.64
  5. Step 5: Solve for x
    x = 51,219,626.64/7,997.72
  6. Step 6: Final answer
    x = 6,404.28

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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.