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Finding the Fourth Proportional to 8,172.16, 12,258 and 2,625.76

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Solution

The fourth proportional to 8,172.16, 12,258 and 2,625.76 is: 3,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.16 : 12,258 = 2,625.76 : x
  2. Step 2: Convert to fraction form
    8,172.16/12,258 = 2,625.76/x
  3. Step 3: Cross multiply
    8,172.16x = 12,258 × 2,625.76
  4. Step 4: Simplify right side
    8,172.16x = 32,186,566.08
  5. Step 5: Solve for x
    x = 32,186,566.08/8,172.16
  6. Step 6: Final answer
    x = 3,938.56

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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.