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Finding the Fourth Proportional to 8,172.56, 11,278.70 and 4,636

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Solution

The fourth proportional to 8,172.56, 11,278.70 and 4,636 is: 6,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.56 : 11,278.70 = 4,636 : x
  2. Step 2: Convert to fraction form
    8,172.56/11,278.70 = 4,636/x
  3. Step 3: Cross multiply
    8,172.56x = 11,278.70 × 4,636
  4. Step 4: Simplify right side
    8,172.56x = 52,288,053.20
  5. Step 5: Solve for x
    x = 52,288,053.20/8,172.56
  6. Step 6: Final answer
    x = 6,398.00

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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.