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Finding the Fourth Proportional to 6,271.56, 8,654.70 and 3,477

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Solution

The fourth proportional to 6,271.56, 8,654.70 and 3,477 is: 4,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.56 : 8,654.70 = 3,477 : x
  2. Step 2: Convert to fraction form
    6,271.56/8,654.70 = 3,477/x
  3. Step 3: Cross multiply
    6,271.56x = 8,654.70 × 3,477
  4. Step 4: Simplify right side
    6,271.56x = 30,092,391.90
  5. Step 5: Solve for x
    x = 30,092,391.90/6,271.56
  6. Step 6: Final answer
    x = 4,798.23

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Why These Related Problems?

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