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Finding the Fourth Proportional to 12,283.76, 18,411.24 and 8,326.64

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Solution

The fourth proportional to 12,283.76, 18,411.24 and 8,326.64 is: 12,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.76 : 18,411.24 = 8,326.64 : x
  2. Step 2: Convert to fraction form
    12,283.76/18,411.24 = 8,326.64/x
  3. Step 3: Cross multiply
    12,283.76x = 18,411.24 × 8,326.64
  4. Step 4: Simplify right side
    12,283.76x = 153,303,767.43
  5. Step 5: Solve for x
    x = 153,303,767.43/12,283.76
  6. Step 6: Final answer
    x = 12,480.20

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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.