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Finding the Fourth Proportional to 13,043, 19,564.50 and 5,257.28

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Solution

The fourth proportional to 13,043, 19,564.50 and 5,257.28 is: 7,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043 : 19,564.50 = 5,257.28 : x
  2. Step 2: Convert to fraction form
    13,043/19,564.50 = 5,257.28/x
  3. Step 3: Cross multiply
    13,043x = 19,564.50 × 5,257.28
  4. Step 4: Simplify right side
    13,043x = 102,856,054.56
  5. Step 5: Solve for x
    x = 102,856,054.56/13,043
  6. Step 6: Final answer
    x = 7,885.92

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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.