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Finding the Fourth Proportional to 5,644.94, 8,455.12 and 3,447

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Solution

The fourth proportional to 5,644.94, 8,455.12 and 3,447 is: 5,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.94 : 8,455.12 = 3,447 : x
  2. Step 2: Convert to fraction form
    5,644.94/8,455.12 = 3,447/x
  3. Step 3: Cross multiply
    5,644.94x = 8,455.12 × 3,447
  4. Step 4: Simplify right side
    5,644.94x = 29,144,790.02
  5. Step 5: Solve for x
    x = 29,144,790.02/5,644.94
  6. Step 6: Final answer
    x = 5,163.00

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Why These Related Problems?

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