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Finding the Fourth Proportional to 5,905.49, 8,145.95 and 4,644.50

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Solution

The fourth proportional to 5,905.49, 8,145.95 and 4,644.50 is: 6,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.49 : 8,145.95 = 4,644.50 : x
  2. Step 2: Convert to fraction form
    5,905.49/8,145.95 = 4,644.50/x
  3. Step 3: Cross multiply
    5,905.49x = 8,145.95 × 4,644.50
  4. Step 4: Simplify right side
    5,905.49x = 37,833,800.82
  5. Step 5: Solve for x
    x = 37,833,800.82/5,905.49
  6. Step 6: Final answer
    x = 6,406.55

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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.