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Finding the Fourth Proportional to 14,410.80, 21,564.72 and 8,865.36

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Solution

The fourth proportional to 14,410.80, 21,564.72 and 8,865.36 is: 13,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.80 : 21,564.72 = 8,865.36 : x
  2. Step 2: Convert to fraction form
    14,410.80/21,564.72 = 8,865.36/x
  3. Step 3: Cross multiply
    14,410.80x = 21,564.72 × 8,865.36
  4. Step 4: Simplify right side
    14,410.80x = 191,179,006.10
  5. Step 5: Solve for x
    x = 191,179,006.10/14,410.80
  6. Step 6: Final answer
    x = 13,266.37

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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.