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Finding the Fourth Proportional to 8,605.32, 12,904.26 and 3,056.82

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Solution

The fourth proportional to 8,605.32, 12,904.26 and 3,056.82 is: 4,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.32 : 12,904.26 = 3,056.82 : x
  2. Step 2: Convert to fraction form
    8,605.32/12,904.26 = 3,056.82/x
  3. Step 3: Cross multiply
    8,605.32x = 12,904.26 × 3,056.82
  4. Step 4: Simplify right side
    8,605.32x = 39,446,000.05
  5. Step 5: Solve for x
    x = 39,446,000.05/8,605.32
  6. Step 6: Final answer
    x = 4,583.91

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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.