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Finding the Fourth Proportional to 5,620.00, 7,755.62 and 3,102.13

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Solution

The fourth proportional to 5,620.00, 7,755.62 and 3,102.13 is: 4,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.00 : 7,755.62 = 3,102.13 : x
  2. Step 2: Convert to fraction form
    5,620.00/7,755.62 = 3,102.13/x
  3. Step 3: Cross multiply
    5,620.00x = 7,755.62 × 3,102.13
  4. Step 4: Simplify right side
    5,620.00x = 24,058,887.18
  5. Step 5: Solve for x
    x = 24,058,887.18/5,620.00
  6. Step 6: Final answer
    x = 4,280.94

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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.