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Finding the Fourth Proportional to 12,563.44, 18,848.40 and 5,640.64

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Solution

The fourth proportional to 12,563.44, 18,848.40 and 5,640.64 is: 8,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.44 : 18,848.40 = 5,640.64 : x
  2. Step 2: Convert to fraction form
    12,563.44/18,848.40 = 5,640.64/x
  3. Step 3: Cross multiply
    12,563.44x = 18,848.40 × 5,640.64
  4. Step 4: Simplify right side
    12,563.44x = 106,317,038.98
  5. Step 5: Solve for x
    x = 106,317,038.98/12,563.44
  6. Step 6: Final answer
    x = 8,462.41

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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.