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Finding the Fourth Proportional to 2,172.45, 3,258.42 and 612.57

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Solution

The fourth proportional to 2,172.45, 3,258.42 and 612.57 is: 918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.45 : 3,258.42 = 612.57 : x
  2. Step 2: Convert to fraction form
    2,172.45/3,258.42 = 612.57/x
  3. Step 3: Cross multiply
    2,172.45x = 3,258.42 × 612.57
  4. Step 4: Simplify right side
    2,172.45x = 1,996,010.34
  5. Step 5: Solve for x
    x = 1,996,010.34/2,172.45
  6. Step 6: Final answer
    x = 918.78

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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.