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Finding the Fourth Proportional to 19,666.20, 29,504.10 and 5,815.20

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Solution

The fourth proportional to 19,666.20, 29,504.10 and 5,815.20 is: 8,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.20 : 29,504.10 = 5,815.20 : x
  2. Step 2: Convert to fraction form
    19,666.20/29,504.10 = 5,815.20/x
  3. Step 3: Cross multiply
    19,666.20x = 29,504.10 × 5,815.20
  4. Step 4: Simplify right side
    19,666.20x = 171,572,242.32
  5. Step 5: Solve for x
    x = 171,572,242.32/19,666.20
  6. Step 6: Final answer
    x = 8,724.22

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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.