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Finding the Fourth Proportional to 5,728.86, 7,905.63 and 3,210.90

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Solution

The fourth proportional to 5,728.86, 7,905.63 and 3,210.90 is: 4,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.86 : 7,905.63 = 3,210.90 : x
  2. Step 2: Convert to fraction form
    5,728.86/7,905.63 = 3,210.90/x
  3. Step 3: Cross multiply
    5,728.86x = 7,905.63 × 3,210.90
  4. Step 4: Simplify right side
    5,728.86x = 25,384,187.37
  5. Step 5: Solve for x
    x = 25,384,187.37/5,728.86
  6. Step 6: Final answer
    x = 4,430.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.