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Finding the Fourth Proportional to 8,440, 12,638.40 and 6,245.44

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Solution

The fourth proportional to 8,440, 12,638.40 and 6,245.44 is: 9,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 12,638.40 = 6,245.44 : x
  2. Step 2: Convert to fraction form
    8,440/12,638.40 = 6,245.44/x
  3. Step 3: Cross multiply
    8,440x = 12,638.40 × 6,245.44
  4. Step 4: Simplify right side
    8,440x = 78,932,368.90
  5. Step 5: Solve for x
    x = 78,932,368.90/8,440
  6. Step 6: Final answer
    x = 9,352.18

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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.