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Finding the Fourth Proportional to 8,456.76, 12,688.77 and 3,266.28

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Solution

The fourth proportional to 8,456.76, 12,688.77 and 3,266.28 is: 4,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.76 : 12,688.77 = 3,266.28 : x
  2. Step 2: Convert to fraction form
    8,456.76/12,688.77 = 3,266.28/x
  3. Step 3: Cross multiply
    8,456.76x = 12,688.77 × 3,266.28
  4. Step 4: Simplify right side
    8,456.76x = 41,445,075.68
  5. Step 5: Solve for x
    x = 41,445,075.68/8,456.76
  6. Step 6: Final answer
    x = 4,900.82

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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.