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Finding the Fourth Proportional to 19,669.20, 29,431.80 and 14,485.20

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Solution

The fourth proportional to 19,669.20, 29,431.80 and 14,485.20 is: 21,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.20 : 29,431.80 = 14,485.20 : x
  2. Step 2: Convert to fraction form
    19,669.20/29,431.80 = 14,485.20/x
  3. Step 3: Cross multiply
    19,669.20x = 29,431.80 × 14,485.20
  4. Step 4: Simplify right side
    19,669.20x = 426,325,509.36
  5. Step 5: Solve for x
    x = 426,325,509.36/19,669.20
  6. Step 6: Final answer
    x = 21,674.78

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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.