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Finding the Fourth Proportional to 5,640.03, 7,783.43 and 3,748.32

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Solution

The fourth proportional to 5,640.03, 7,783.43 and 3,748.32 is: 5,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.03 : 7,783.43 = 3,748.32 : x
  2. Step 2: Convert to fraction form
    5,640.03/7,783.43 = 3,748.32/x
  3. Step 3: Cross multiply
    5,640.03x = 7,783.43 × 3,748.32
  4. Step 4: Simplify right side
    5,640.03x = 29,174,767.60
  5. Step 5: Solve for x
    x = 29,174,767.60/5,640.03
  6. Step 6: Final answer
    x = 5,172.80

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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.