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Finding the Fourth Proportional to 8,172, 11,277.18 and 4,635.60

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Solution

The fourth proportional to 8,172, 11,277.18 and 4,635.60 is: 6,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172 : 11,277.18 = 4,635.60 : x
  2. Step 2: Convert to fraction form
    8,172/11,277.18 = 4,635.60/x
  3. Step 3: Cross multiply
    8,172x = 11,277.18 × 4,635.60
  4. Step 4: Simplify right side
    8,172x = 52,276,495.61
  5. Step 5: Solve for x
    x = 52,276,495.61/8,172
  6. Step 6: Final answer
    x = 6,397.03

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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.