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Finding the Fourth Proportional to 5,440.63, 8,164.59 and 3,494.20

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Solution

The fourth proportional to 5,440.63, 8,164.59 and 3,494.20 is: 5,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.63 : 8,164.59 = 3,494.20 : x
  2. Step 2: Convert to fraction form
    5,440.63/8,164.59 = 3,494.20/x
  3. Step 3: Cross multiply
    5,440.63x = 8,164.59 × 3,494.20
  4. Step 4: Simplify right side
    5,440.63x = 28,528,710.38
  5. Step 5: Solve for x
    x = 28,528,710.38/5,440.63
  6. Step 6: Final answer
    x = 5,243.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.