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Finding the Fourth Proportional to 19,665, 29,503.26 and 5,814.36

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Solution

The fourth proportional to 19,665, 29,503.26 and 5,814.36 is: 8,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665 : 29,503.26 = 5,814.36 : x
  2. Step 2: Convert to fraction form
    19,665/29,503.26 = 5,814.36/x
  3. Step 3: Cross multiply
    19,665x = 29,503.26 × 5,814.36
  4. Step 4: Simplify right side
    19,665x = 171,542,574.81
  5. Step 5: Solve for x
    x = 171,542,574.81/19,665
  6. Step 6: Final answer
    x = 8,723.24

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1.5x scale

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.