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Finding the Fourth Proportional to 12,606.61, 18,915.32 and 5,216.44

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Solution

The fourth proportional to 12,606.61, 18,915.32 and 5,216.44 is: 7,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.61 : 18,915.32 = 5,216.44 : x
  2. Step 2: Convert to fraction form
    12,606.61/18,915.32 = 5,216.44/x
  3. Step 3: Cross multiply
    12,606.61x = 18,915.32 × 5,216.44
  4. Step 4: Simplify right side
    12,606.61x = 98,670,631.86
  5. Step 5: Solve for x
    x = 98,670,631.86/12,606.61
  6. Step 6: Final answer
    x = 7,826.90

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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.