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Finding the Fourth Proportional to 6,172.99, 8,517.54 and 3,657

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Solution

The fourth proportional to 6,172.99, 8,517.54 and 3,657 is: 5,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.99 : 8,517.54 = 3,657 : x
  2. Step 2: Convert to fraction form
    6,172.99/8,517.54 = 3,657/x
  3. Step 3: Cross multiply
    6,172.99x = 8,517.54 × 3,657
  4. Step 4: Simplify right side
    6,172.99x = 31,148,643.78
  5. Step 5: Solve for x
    x = 31,148,643.78/6,172.99
  6. Step 6: Final answer
    x = 5,045.96

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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.