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Finding the Fourth Proportional to 8,283.96, 12,406.79 and 4,989.78

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Solution

The fourth proportional to 8,283.96, 12,406.79 and 4,989.78 is: 7,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.96 : 12,406.79 = 4,989.78 : x
  2. Step 2: Convert to fraction form
    8,283.96/12,406.79 = 4,989.78/x
  3. Step 3: Cross multiply
    8,283.96x = 12,406.79 × 4,989.78
  4. Step 4: Simplify right side
    8,283.96x = 61,907,127.66
  5. Step 5: Solve for x
    x = 61,907,127.66/8,283.96
  6. Step 6: Final answer
    x = 7,473.13

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1.5x scale

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.