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Finding the Fourth Proportional to 5,416.93, 7,481.59 and 4,155.30

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Solution

The fourth proportional to 5,416.93, 7,481.59 and 4,155.30 is: 5,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.93 : 7,481.59 = 4,155.30 : x
  2. Step 2: Convert to fraction form
    5,416.93/7,481.59 = 4,155.30/x
  3. Step 3: Cross multiply
    5,416.93x = 7,481.59 × 4,155.30
  4. Step 4: Simplify right side
    5,416.93x = 31,088,252.23
  5. Step 5: Solve for x
    x = 31,088,252.23/5,416.93
  6. Step 6: Final answer
    x = 5,739.10

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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.