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Finding the Fourth Proportional to 8,653.61, 12,979.00 and 2,414.05

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Solution

The fourth proportional to 8,653.61, 12,979.00 and 2,414.05 is: 3,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.61 : 12,979.00 = 2,414.05 : x
  2. Step 2: Convert to fraction form
    8,653.61/12,979.00 = 2,414.05/x
  3. Step 3: Cross multiply
    8,653.61x = 12,979.00 × 2,414.05
  4. Step 4: Simplify right side
    8,653.61x = 31,331,877.98
  5. Step 5: Solve for x
    x = 31,331,877.98/8,653.61
  6. Step 6: Final answer
    x = 3,620.67

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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.